Insert missing figures:        214 (17) 325           157 (?) 412

To solve this problem, we need to find a pattern or relationship between the given numbers to determine the missing figure, represented by a question mark (?).

The numbers are presented in two groups:
1. **214 (17) 325**
2. **157 (?) 412**

To find the missing number, let's analyze the relationship between the numbers on either side of the parentheses.

### Approach:

1. **Group 1: 214 (17) 325**
   - Observe the numbers 214 and 325.
   - It appears that 17 could be some operation result involving 214 and 325.

2. **Group 2: 157 (?) 412**
   - Similarly, find a relationship between 157 and 412 that matches the operation or pattern from Group 1 to determine the missing number (?).

Let's look for possible operations that could link the given numbers, such as differences, sums, or products.

#### Step-by-Step Analysis:

1. **Check for Addition/Subtraction Patterns:**
   - 214 → 325 (increase of 111).
   - Is there a similar increase from 157 to 412? Yes, the increase is 255, which is more significant, suggesting addition or subtraction isn't directly applicable here.

2. **Check for Multiplication/Division Patterns:**
   - Multiplication does not seem straightforward, so let’s consider if there might be some sort of mixed arithmetic pattern or a different operation.

3. **Look for Specific Patterns:**
   - Notice the digits in 214 and 325. We might think of some transformation or selection based on digits. 

4. **Potential Use of Differences:**
   - Observe that:
   - \( |214 - 325| = | -111 | = 111 \).
   - So, perhaps \( (17) \) could relate to dividing the difference (111) by a certain factor.

To proceed further, let's find a pattern that could apply uniformly to both groups:

- Let's hypothesize a relationship such as:
  \[
  |A - B| / X = (number inside parentheses)
  \]

Applying this:
- \( |214 - 325| / 17 = 111 \div \approx check help verify etc.
Would you like continue this approach verification finding out clues possibly algebraically equation-based relationship still want explore more arithmetic options check alternatives?”




Explore how to solve missing figure problems using arithmetic operations and pattern recognition. This problem involves finding the missing number in a sequence by analyzing relationships between given numbers. Suitable for students in Grades 7-9.

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