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Finding the Fourth Proportional to 318.38, 439.22 and 201.88

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Solution

The fourth proportional to 318.38, 439.22 and 201.88 is: 278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 439.22 = 201.88 : x
  2. Step 2: Convert to fraction form
    318.38/439.22 = 201.88/x
  3. Step 3: Cross multiply
    318.38x = 439.22 × 201.88
  4. Step 4: Simplify right side
    318.38x = 88,669.73
  5. Step 5: Solve for x
    x = 88,669.73/318.38
  6. Step 6: Final answer
    x = 278.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.