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Finding the Fourth Proportional to 359.65, 539.15 and 116.05

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Solution

The fourth proportional to 359.65, 539.15 and 116.05 is: 173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.65 : 539.15 = 116.05 : x
  2. Step 2: Convert to fraction form
    359.65/539.15 = 116.05/x
  3. Step 3: Cross multiply
    359.65x = 539.15 × 116.05
  4. Step 4: Simplify right side
    359.65x = 62,567.78
  5. Step 5: Solve for x
    x = 62,567.78/359.65
  6. Step 6: Final answer
    x = 173.97

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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.