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Finding the Fourth Proportional to 232.32, 348.63 and 102.39

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Solution

The fourth proportional to 232.32, 348.63 and 102.39 is: 153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 348.63 = 102.39 : x
  2. Step 2: Convert to fraction form
    232.32/348.63 = 102.39/x
  3. Step 3: Cross multiply
    232.32x = 348.63 × 102.39
  4. Step 4: Simplify right side
    232.32x = 35,695.71
  5. Step 5: Solve for x
    x = 35,695.71/232.32
  6. Step 6: Final answer
    x = 153.65

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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.