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Finding the Fourth Proportional to 359.74, 539.56 and 116.24

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Solution

The fourth proportional to 359.74, 539.56 and 116.24 is: 174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.74 : 539.56 = 116.24 : x
  2. Step 2: Convert to fraction form
    359.74/539.56 = 116.24/x
  3. Step 3: Cross multiply
    359.74x = 539.56 × 116.24
  4. Step 4: Simplify right side
    359.74x = 62,715.90
  5. Step 5: Solve for x
    x = 62,715.90/359.74
  6. Step 6: Final answer
    x = 174.34

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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.