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Finding the Fourth Proportional to 232.59, 348.40 and 116.97

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Solution

The fourth proportional to 232.59, 348.40 and 116.97 is: 175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.59 : 348.40 = 116.97 : x
  2. Step 2: Convert to fraction form
    232.59/348.40 = 116.97/x
  3. Step 3: Cross multiply
    232.59x = 348.40 × 116.97
  4. Step 4: Simplify right side
    232.59x = 40,752.35
  5. Step 5: Solve for x
    x = 40,752.35/232.59
  6. Step 6: Final answer
    x = 175.21

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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.