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Finding the Fourth Proportional to 256.26, 353.28 and 168.78

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Solution

The fourth proportional to 256.26, 353.28 and 168.78 is: 232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 353.28 = 168.78 : x
  2. Step 2: Convert to fraction form
    256.26/353.28 = 168.78/x
  3. Step 3: Cross multiply
    256.26x = 353.28 × 168.78
  4. Step 4: Simplify right side
    256.26x = 59,627.61
  5. Step 5: Solve for x
    x = 59,627.61/256.26
  6. Step 6: Final answer
    x = 232.68

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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.