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Finding the Fourth Proportional to 267.96, 404.07 and 227.88

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Solution

The fourth proportional to 267.96, 404.07 and 227.88 is: 343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 404.07 = 227.88 : x
  2. Step 2: Convert to fraction form
    267.96/404.07 = 227.88/x
  3. Step 3: Cross multiply
    267.96x = 404.07 × 227.88
  4. Step 4: Simplify right side
    267.96x = 92,079.47
  5. Step 5: Solve for x
    x = 92,079.47/267.96
  6. Step 6: Final answer
    x = 343.63

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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.