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Finding the Fourth Proportional to 359.69, 539.46 and 116.08

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Solution

The fourth proportional to 359.69, 539.46 and 116.08 is: 174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.69 : 539.46 = 116.08 : x
  2. Step 2: Convert to fraction form
    359.69/539.46 = 116.08/x
  3. Step 3: Cross multiply
    359.69x = 539.46 × 116.08
  4. Step 4: Simplify right side
    359.69x = 62,622.20
  5. Step 5: Solve for x
    x = 62,622.20/359.69
  6. Step 6: Final answer
    x = 174.10

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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.