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Finding the Fourth Proportional to 232.07, 348.16 and 110.27

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Solution

The fourth proportional to 232.07, 348.16 and 110.27 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.07 : 348.16 = 110.27 : x
  2. Step 2: Convert to fraction form
    232.07/348.16 = 110.27/x
  3. Step 3: Cross multiply
    232.07x = 348.16 × 110.27
  4. Step 4: Simplify right side
    232.07x = 38,392.20
  5. Step 5: Solve for x
    x = 38,392.20/232.07
  6. Step 6: Final answer
    x = 165.43

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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.