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Finding the Fourth Proportional to 232.92, 350.33 and 211.95

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Solution

The fourth proportional to 232.92, 350.33 and 211.95 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 350.33 = 211.95 : x
  2. Step 2: Convert to fraction form
    232.92/350.33 = 211.95/x
  3. Step 3: Cross multiply
    232.92x = 350.33 × 211.95
  4. Step 4: Simplify right side
    232.92x = 74,251.38
  5. Step 5: Solve for x
    x = 74,251.38/232.92
  6. Step 6: Final answer
    x = 318.78

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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.