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Finding the Fourth Proportional to 359.24, 538.31 and 142.70

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Solution

The fourth proportional to 359.24, 538.31 and 142.70 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 538.31 = 142.70 : x
  2. Step 2: Convert to fraction form
    359.24/538.31 = 142.70/x
  3. Step 3: Cross multiply
    359.24x = 538.31 × 142.70
  4. Step 4: Simplify right side
    359.24x = 76,813.43
  5. Step 5: Solve for x
    x = 76,813.43/359.24
  6. Step 6: Final answer
    x = 213.83

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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.