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Finding the Fourth Proportional to 232.74, 321.03 and 224.82

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Solution

The fourth proportional to 232.74, 321.03 and 224.82 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.74 : 321.03 = 224.82 : x
  2. Step 2: Convert to fraction form
    232.74/321.03 = 224.82/x
  3. Step 3: Cross multiply
    232.74x = 321.03 × 224.82
  4. Step 4: Simplify right side
    232.74x = 72,173.96
  5. Step 5: Solve for x
    x = 72,173.96/232.74
  6. Step 6: Final answer
    x = 310.11

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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.