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Finding the Fourth Proportional to 232.89, 349.56 and 141.76

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Solution

The fourth proportional to 232.89, 349.56 and 141.76 is: 212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.89 : 349.56 = 141.76 : x
  2. Step 2: Convert to fraction form
    232.89/349.56 = 141.76/x
  3. Step 3: Cross multiply
    232.89x = 349.56 × 141.76
  4. Step 4: Simplify right side
    232.89x = 49,552.92
  5. Step 5: Solve for x
    x = 49,552.92/232.89
  6. Step 6: Final answer
    x = 212.78

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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.