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Finding the Fourth Proportional to 256.28, 352.94 and 197.96

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Solution

The fourth proportional to 256.28, 352.94 and 197.96 is: 272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.28 : 352.94 = 197.96 : x
  2. Step 2: Convert to fraction form
    256.28/352.94 = 197.96/x
  3. Step 3: Cross multiply
    256.28x = 352.94 × 197.96
  4. Step 4: Simplify right side
    256.28x = 69,865.25
  5. Step 5: Solve for x
    x = 69,865.25/256.28
  6. Step 6: Final answer
    x = 272.62

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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.