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Finding the Fourth Proportional to 359.71, 539.43 and 116.17

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Solution

The fourth proportional to 359.71, 539.43 and 116.17 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.71 : 539.43 = 116.17 : x
  2. Step 2: Convert to fraction form
    359.71/539.43 = 116.17/x
  3. Step 3: Cross multiply
    359.71x = 539.43 × 116.17
  4. Step 4: Simplify right side
    359.71x = 62,667.29
  5. Step 5: Solve for x
    x = 62,667.29/359.71
  6. Step 6: Final answer
    x = 174.21

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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.