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Finding the Fourth Proportional to 267.21, 400.19 and 205.85

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Solution

The fourth proportional to 267.21, 400.19 and 205.85 is: 308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.21 : 400.19 = 205.85 : x
  2. Step 2: Convert to fraction form
    267.21/400.19 = 205.85/x
  3. Step 3: Cross multiply
    267.21x = 400.19 × 205.85
  4. Step 4: Simplify right side
    267.21x = 82,379.11
  5. Step 5: Solve for x
    x = 82,379.11/267.21
  6. Step 6: Final answer
    x = 308.29

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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.