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Finding the Fourth Proportional to 232.46, 348.69 and 129.84

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Solution

The fourth proportional to 232.46, 348.69 and 129.84 is: 194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 348.69 = 129.84 : x
  2. Step 2: Convert to fraction form
    232.46/348.69 = 129.84/x
  3. Step 3: Cross multiply
    232.46x = 348.69 × 129.84
  4. Step 4: Simplify right side
    232.46x = 45,273.91
  5. Step 5: Solve for x
    x = 45,273.91/232.46
  6. Step 6: Final answer
    x = 194.76

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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.