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Finding the Fourth Proportional to 232.54, 348.64 and 110.66

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Solution

The fourth proportional to 232.54, 348.64 and 110.66 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 348.64 = 110.66 : x
  2. Step 2: Convert to fraction form
    232.54/348.64 = 110.66/x
  3. Step 3: Cross multiply
    232.54x = 348.64 × 110.66
  4. Step 4: Simplify right side
    232.54x = 38,580.50
  5. Step 5: Solve for x
    x = 38,580.50/232.54
  6. Step 6: Final answer
    x = 165.91

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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.