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Finding the Fourth Proportional to 232.62, 348.68 and 102.57

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Solution

The fourth proportional to 232.62, 348.68 and 102.57 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 348.68 = 102.57 : x
  2. Step 2: Convert to fraction form
    232.62/348.68 = 102.57/x
  3. Step 3: Cross multiply
    232.62x = 348.68 × 102.57
  4. Step 4: Simplify right side
    232.62x = 35,763.59
  5. Step 5: Solve for x
    x = 35,763.59/232.62
  6. Step 6: Final answer
    x = 153.74

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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.