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Finding the Fourth Proportional to 232.92, 321.42 and 154.14

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Solution

The fourth proportional to 232.92, 321.42 and 154.14 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 321.42 = 154.14 : x
  2. Step 2: Convert to fraction form
    232.92/321.42 = 154.14/x
  3. Step 3: Cross multiply
    232.92x = 321.42 × 154.14
  4. Step 4: Simplify right side
    232.92x = 49,543.68
  5. Step 5: Solve for x
    x = 49,543.68/232.92
  6. Step 6: Final answer
    x = 212.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.