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Finding the Fourth Proportional to 359.39, 539.06 and 176.60

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Solution

The fourth proportional to 359.39, 539.06 and 176.60 is: 264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.39 : 539.06 = 176.60 : x
  2. Step 2: Convert to fraction form
    359.39/539.06 = 176.60/x
  3. Step 3: Cross multiply
    359.39x = 539.06 × 176.60
  4. Step 4: Simplify right side
    359.39x = 95,194.42
  5. Step 5: Solve for x
    x = 95,194.42/359.39
  6. Step 6: Final answer
    x = 264.88

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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.