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Finding the Fourth Proportional to 232.88, 321.42 and 134.66

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Solution

The fourth proportional to 232.88, 321.42 and 134.66 is: 185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 321.42 = 134.66 : x
  2. Step 2: Convert to fraction form
    232.88/321.42 = 134.66/x
  3. Step 3: Cross multiply
    232.88x = 321.42 × 134.66
  4. Step 4: Simplify right side
    232.88x = 43,282.97
  5. Step 5: Solve for x
    x = 43,282.97/232.88
  6. Step 6: Final answer
    x = 185.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.