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Finding the Fourth Proportional to 232.61, 321.14 and 191.27

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Solution

The fourth proportional to 232.61, 321.14 and 191.27 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.61 : 321.14 = 191.27 : x
  2. Step 2: Convert to fraction form
    232.61/321.14 = 191.27/x
  3. Step 3: Cross multiply
    232.61x = 321.14 × 191.27
  4. Step 4: Simplify right side
    232.61x = 61,425.73
  5. Step 5: Solve for x
    x = 61,425.73/232.61
  6. Step 6: Final answer
    x = 264.08

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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.