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Finding the Fourth Proportional to 267.42, 400.82 and 218.74

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Solution

The fourth proportional to 267.42, 400.82 and 218.74 is: 327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 400.82 = 218.74 : x
  2. Step 2: Convert to fraction form
    267.42/400.82 = 218.74/x
  3. Step 3: Cross multiply
    267.42x = 400.82 × 218.74
  4. Step 4: Simplify right side
    267.42x = 87,675.37
  5. Step 5: Solve for x
    x = 87,675.37/267.42
  6. Step 6: Final answer
    x = 327.86

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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.