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Finding the Fourth Proportional to 359.93, 539.94 and 116.48

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Solution

The fourth proportional to 359.93, 539.94 and 116.48 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.93 : 539.94 = 116.48 : x
  2. Step 2: Convert to fraction form
    359.93/539.94 = 116.48/x
  3. Step 3: Cross multiply
    359.93x = 539.94 × 116.48
  4. Step 4: Simplify right side
    359.93x = 62,892.21
  5. Step 5: Solve for x
    x = 62,892.21/359.93
  6. Step 6: Final answer
    x = 174.73

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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.