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Finding the Fourth Proportional to 256.92, 354.20 and 201.44

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Solution

The fourth proportional to 256.92, 354.20 and 201.44 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.92 : 354.20 = 201.44 : x
  2. Step 2: Convert to fraction form
    256.92/354.20 = 201.44/x
  3. Step 3: Cross multiply
    256.92x = 354.20 × 201.44
  4. Step 4: Simplify right side
    256.92x = 71,350.05
  5. Step 5: Solve for x
    x = 71,350.05/256.92
  6. Step 6: Final answer
    x = 277.71

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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.