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Finding the Fourth Proportional to 359.61, 539.34 and 161.97

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Solution

The fourth proportional to 359.61, 539.34 and 161.97 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.61 : 539.34 = 161.97 : x
  2. Step 2: Convert to fraction form
    359.61/539.34 = 161.97/x
  3. Step 3: Cross multiply
    359.61x = 539.34 × 161.97
  4. Step 4: Simplify right side
    359.61x = 87,356.90
  5. Step 5: Solve for x
    x = 87,356.90/359.61
  6. Step 6: Final answer
    x = 242.92

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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.