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Finding the Fourth Proportional to 256.25, 353.52 and 162.97

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Solution

The fourth proportional to 256.25, 353.52 and 162.97 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.25 : 353.52 = 162.97 : x
  2. Step 2: Convert to fraction form
    256.25/353.52 = 162.97/x
  3. Step 3: Cross multiply
    256.25x = 353.52 × 162.97
  4. Step 4: Simplify right side
    256.25x = 57,613.15
  5. Step 5: Solve for x
    x = 57,613.15/256.25
  6. Step 6: Final answer
    x = 224.83

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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.