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Finding the Fourth Proportional to 256.89, 354.60 and 169.59

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Solution

The fourth proportional to 256.89, 354.60 and 169.59 is: 234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.89 : 354.60 = 169.59 : x
  2. Step 2: Convert to fraction form
    256.89/354.60 = 169.59/x
  3. Step 3: Cross multiply
    256.89x = 354.60 × 169.59
  4. Step 4: Simplify right side
    256.89x = 60,136.61
  5. Step 5: Solve for x
    x = 60,136.61/256.89
  6. Step 6: Final answer
    x = 234.09

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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.