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Finding the Fourth Proportional to 267.38, 400.50 and 206.06

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Solution

The fourth proportional to 267.38, 400.50 and 206.06 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.38 : 400.50 = 206.06 : x
  2. Step 2: Convert to fraction form
    267.38/400.50 = 206.06/x
  3. Step 3: Cross multiply
    267.38x = 400.50 × 206.06
  4. Step 4: Simplify right side
    267.38x = 82,527.03
  5. Step 5: Solve for x
    x = 82,527.03/267.38
  6. Step 6: Final answer
    x = 308.65

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Why These Related Problems?

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