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Finding the Fourth Proportional to 232.25, 348.44 and 110.61

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Solution

The fourth proportional to 232.25, 348.44 and 110.61 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.25 : 348.44 = 110.61 : x
  2. Step 2: Convert to fraction form
    232.25/348.44 = 110.61/x
  3. Step 3: Cross multiply
    232.25x = 348.44 × 110.61
  4. Step 4: Simplify right side
    232.25x = 38,540.40
  5. Step 5: Solve for x
    x = 38,540.40/232.25
  6. Step 6: Final answer
    x = 165.95

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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.