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Finding the Fourth Proportional to 232.74, 348.81 and 102.69

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Solution

The fourth proportional to 232.74, 348.81 and 102.69 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.74 : 348.81 = 102.69 : x
  2. Step 2: Convert to fraction form
    232.74/348.81 = 102.69/x
  3. Step 3: Cross multiply
    232.74x = 348.81 × 102.69
  4. Step 4: Simplify right side
    232.74x = 35,819.30
  5. Step 5: Solve for x
    x = 35,819.30/232.74
  6. Step 6: Final answer
    x = 153.90

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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.