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Finding the Fourth Proportional to 267.38, 400.53 and 218.41

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Solution

The fourth proportional to 267.38, 400.53 and 218.41 is: 327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.38 : 400.53 = 218.41 : x
  2. Step 2: Convert to fraction form
    267.38/400.53 = 218.41/x
  3. Step 3: Cross multiply
    267.38x = 400.53 × 218.41
  4. Step 4: Simplify right side
    267.38x = 87,478.35
  5. Step 5: Solve for x
    x = 87,478.35/267.38
  6. Step 6: Final answer
    x = 327.17

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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.