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Finding the Fourth Proportional to 359.62, 539.41 and 116.14

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Solution

The fourth proportional to 359.62, 539.41 and 116.14 is: 174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.62 : 539.41 = 116.14 : x
  2. Step 2: Convert to fraction form
    359.62/539.41 = 116.14/x
  3. Step 3: Cross multiply
    359.62x = 539.41 × 116.14
  4. Step 4: Simplify right side
    359.62x = 62,647.08
  5. Step 5: Solve for x
    x = 62,647.08/359.62
  6. Step 6: Final answer
    x = 174.20

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