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Finding the Fourth Proportional to 358.65, 538.11 and 142.38

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Solution

The fourth proportional to 358.65, 538.11 and 142.38 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.65 : 538.11 = 142.38 : x
  2. Step 2: Convert to fraction form
    358.65/538.11 = 142.38/x
  3. Step 3: Cross multiply
    358.65x = 538.11 × 142.38
  4. Step 4: Simplify right side
    358.65x = 76,616.10
  5. Step 5: Solve for x
    x = 76,616.10/358.65
  6. Step 6: Final answer
    x = 213.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.