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Finding the Fourth Proportional to 226.20, 337.97 and 167.38

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Solution

The fourth proportional to 226.20, 337.97 and 167.38 is: 250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.20 : 337.97 = 167.38 : x
  2. Step 2: Convert to fraction form
    226.20/337.97 = 167.38/x
  3. Step 3: Cross multiply
    226.20x = 337.97 × 167.38
  4. Step 4: Simplify right side
    226.20x = 56,569.42
  5. Step 5: Solve for x
    x = 56,569.42/226.20
  6. Step 6: Final answer
    x = 250.09

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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.