Solve the proportion. Round to the nearest hundredth.
2.5/0.4= 145x


To solve the proportion \( \frac{2.5}{0.4} = 145x \), follow these steps:

1. Start by simplifying the left-hand side:
\[
\frac{2.5}{0.4} = 6.25
\]

2. Now the equation becomes:
\[
6.25 = 145x
\]

3. Solve for \( x \) by dividing both sides by 145:
\[
x = \frac{6.25}{145} = 0.0431
\]

4. Round to the nearest hundredth:
\[
x \approx 0.04
\]

Thus, \( x \approx 0.04 \).

Would you like more details on this process, or do you have any questions?

Here are 5 related questions you might consider:
1. How do you solve a proportion with variables on both sides?
2. What is the importance of simplifying ratios before solving?
3. How do you check if a solution to a proportion is correct?
4. What other ways can proportions be applied in real-life scenarios?
5. How does rounding affect the accuracy of a solution?

**Tip:** Always simplify fractions or ratios as much as possible before solving to avoid mistakes!

Solve the proportion. Round to the nearest hundredth. 2.5/0.4 = 145x

Learn how to solve the proportion 2.5/0.4 = 145x with a step-by-step guide. This algebraic problem covers simplifying ratios and solving for an unknown variable. Follow the detailed solution and round your answer to the nearest hundredth. Suitable for students in Grades 6-8.

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