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Finding the Fourth Proportional to 232.68, 319.17 and 227.88

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Solution

The fourth proportional to 232.68, 319.17 and 227.88 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 319.17 = 227.88 : x
  2. Step 2: Convert to fraction form
    232.68/319.17 = 227.88/x
  3. Step 3: Cross multiply
    232.68x = 319.17 × 227.88
  4. Step 4: Simplify right side
    232.68x = 72,732.46
  5. Step 5: Solve for x
    x = 72,732.46/232.68
  6. Step 6: Final answer
    x = 312.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.