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Finding the Fourth Proportional to 359.50, 539.31 and 176.80

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Solution

The fourth proportional to 359.50, 539.31 and 176.80 is: 265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.50 : 539.31 = 176.80 : x
  2. Step 2: Convert to fraction form
    359.50/539.31 = 176.80/x
  3. Step 3: Cross multiply
    359.50x = 539.31 × 176.80
  4. Step 4: Simplify right side
    359.50x = 95,350.01
  5. Step 5: Solve for x
    x = 95,350.01/359.50
  6. Step 6: Final answer
    x = 265.23

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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.