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Finding the Fourth Proportional to 159.92, 239.87 and 144.73

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Solution

The fourth proportional to 159.92, 239.87 and 144.73 is: 217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 239.87 = 144.73 : x
  2. Step 2: Convert to fraction form
    159.92/239.87 = 144.73/x
  3. Step 3: Cross multiply
    159.92x = 239.87 × 144.73
  4. Step 4: Simplify right side
    159.92x = 34,716.15
  5. Step 5: Solve for x
    x = 34,716.15/159.92
  6. Step 6: Final answer
    x = 217.09

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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.