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Finding the Fourth Proportional to 359.88, 539.75 and 116.42

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Solution

The fourth proportional to 359.88, 539.75 and 116.42 is: 174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.88 : 539.75 = 116.42 : x
  2. Step 2: Convert to fraction form
    359.88/539.75 = 116.42/x
  3. Step 3: Cross multiply
    359.88x = 539.75 × 116.42
  4. Step 4: Simplify right side
    359.88x = 62,834.41
  5. Step 5: Solve for x
    x = 62,834.41/359.88
  6. Step 6: Final answer
    x = 174.60

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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.