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Finding the Fourth Proportional to 267.32, 400.56 and 206.60

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Solution

The fourth proportional to 267.32, 400.56 and 206.60 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 400.56 = 206.60 : x
  2. Step 2: Convert to fraction form
    267.32/400.56 = 206.60/x
  3. Step 3: Cross multiply
    267.32x = 400.56 × 206.60
  4. Step 4: Simplify right side
    267.32x = 82,755.70
  5. Step 5: Solve for x
    x = 82,755.70/267.32
  6. Step 6: Final answer
    x = 309.58

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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.