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To solve this problem, we need to calculate the height of a stack of pennies worth $228, given that each penny is 1.55 millimeters thick.

### Step-by-step solution:

1. **Determine how many pennies are in $228**:
   Each penny is worth $0.01, so we divide $228 by $0.01 to find the number of pennies:
   \[
   \text{Number of pennies} = \frac{228}{0.01} = 22800 \text{ pennies}.
   \]

2. **Calculate the total height of the stack in millimeters**:
   If each penny is 1.55 mm thick, the height of 22800 pennies is:
   \[
   \text{Height in millimeters} = 22800 \times 1.55 = 35340 \text{ mm}.
   \]

3. **Convert millimeters to meters**:
   Since there are 1000 millimeters in a meter, we divide the total height in millimeters by 1000:
   \[
   \text{Height in meters} = \frac{35340}{1000} = 35.34 \text{ meters}.
   \]

### Final Answer:
The height of the stack of $228 worth of pennies is **35.34 meters**.

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the total height change if the thickness of each penny was slightly less, say 1.5 mm?
2. What would be the height of $100 worth of pennies, assuming the same thickness?
3. How many pennies would it take to make a stack 100 meters tall?
4. If the pennies were stacked inside a building, how many floors would this stack reach if each floor is 3 meters tall?
5. How thick would each penny need to be for the stack of $228 worth to be exactly 50 meters tall?

### Tip:
When dealing with large units, always ensure you convert consistently between different units (e.g., millimeters to meters) to avoid errors.

A penny is 1.55 millimeters thick. If you stacked $228 worth of pennies on top of each other, how tall would the stack be, in meters? Do not round your final answer.

Learn how to calculate the height of a stack of $228 worth of pennies, each 1.55 mm thick, in meters. This problem covers arithmetic and unit conversion, suitable for students in Grades 6-8.

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