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Finding the Fourth Proportional to 227.32, 339.32 and 224.88

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Solution

The fourth proportional to 227.32, 339.32 and 224.88 is: 335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.32 : 339.32 = 224.88 : x
  2. Step 2: Convert to fraction form
    227.32/339.32 = 224.88/x
  3. Step 3: Cross multiply
    227.32x = 339.32 × 224.88
  4. Step 4: Simplify right side
    227.32x = 76,306.28
  5. Step 5: Solve for x
    x = 76,306.28/227.32
  6. Step 6: Final answer
    x = 335.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.