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Finding the Fourth Proportional to 224.46, 338.34 and 205.98

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Solution

The fourth proportional to 224.46, 338.34 and 205.98 is: 310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.46 : 338.34 = 205.98 : x
  2. Step 2: Convert to fraction form
    224.46/338.34 = 205.98/x
  3. Step 3: Cross multiply
    224.46x = 338.34 × 205.98
  4. Step 4: Simplify right side
    224.46x = 69,691.27
  5. Step 5: Solve for x
    x = 69,691.27/224.46
  6. Step 6: Final answer
    x = 310.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.