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Finding the Fourth Proportional to 232.38, 348.66 and 110.75

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Solution

The fourth proportional to 232.38, 348.66 and 110.75 is: 166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 348.66 = 110.75 : x
  2. Step 2: Convert to fraction form
    232.38/348.66 = 110.75/x
  3. Step 3: Cross multiply
    232.38x = 348.66 × 110.75
  4. Step 4: Simplify right side
    232.38x = 38,612.35
  5. Step 5: Solve for x
    x = 38,612.35/232.38
  6. Step 6: Final answer
    x = 166.16

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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.