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Finding the Fourth Proportional to 267.38, 400.31 and 206.63

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Solution

The fourth proportional to 267.38, 400.31 and 206.63 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.38 : 400.31 = 206.63 : x
  2. Step 2: Convert to fraction form
    267.38/400.31 = 206.63/x
  3. Step 3: Cross multiply
    267.38x = 400.31 × 206.63
  4. Step 4: Simplify right side
    267.38x = 82,715.30
  5. Step 5: Solve for x
    x = 82,715.30/267.38
  6. Step 6: Final answer
    x = 309.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.