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Finding the Fourth Proportional to 256.25, 353.21 and 177.68

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Solution

The fourth proportional to 256.25, 353.21 and 177.68 is: 244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.25 : 353.21 = 177.68 : x
  2. Step 2: Convert to fraction form
    256.25/353.21 = 177.68/x
  3. Step 3: Cross multiply
    256.25x = 353.21 × 177.68
  4. Step 4: Simplify right side
    256.25x = 62,755.70
  5. Step 5: Solve for x
    x = 62,755.70/256.25
  6. Step 6: Final answer
    x = 244.91

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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.