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Finding the Fourth Proportional to 227.16, 338.22 and 224.73

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Solution

The fourth proportional to 227.16, 338.22 and 224.73 is: 334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 338.22 = 224.73 : x
  2. Step 2: Convert to fraction form
    227.16/338.22 = 224.73/x
  3. Step 3: Cross multiply
    227.16x = 338.22 × 224.73
  4. Step 4: Simplify right side
    227.16x = 76,008.18
  5. Step 5: Solve for x
    x = 76,008.18/227.16
  6. Step 6: Final answer
    x = 334.60

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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.