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Finding the Fourth Proportional to 232.67, 348.96 and 102.71

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Solution

The fourth proportional to 232.67, 348.96 and 102.71 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.67 : 348.96 = 102.71 : x
  2. Step 2: Convert to fraction form
    232.67/348.96 = 102.71/x
  3. Step 3: Cross multiply
    232.67x = 348.96 × 102.71
  4. Step 4: Simplify right side
    232.67x = 35,841.68
  5. Step 5: Solve for x
    x = 35,841.68/232.67
  6. Step 6: Final answer
    x = 154.05

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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.