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Finding the Fourth Proportional to 267.68, 400.84 and 209.59

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Solution

The fourth proportional to 267.68, 400.84 and 209.59 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 400.84 = 209.59 : x
  2. Step 2: Convert to fraction form
    267.68/400.84 = 209.59/x
  3. Step 3: Cross multiply
    267.68x = 400.84 × 209.59
  4. Step 4: Simplify right side
    267.68x = 84,010.23
  5. Step 5: Solve for x
    x = 84,010.23/267.68
  6. Step 6: Final answer
    x = 313.85

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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.