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Finding the Fourth Proportional to 256.97, 385.56 and 120.29

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Solution

The fourth proportional to 256.97, 385.56 and 120.29 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 385.56 = 120.29 : x
  2. Step 2: Convert to fraction form
    256.97/385.56 = 120.29/x
  3. Step 3: Cross multiply
    256.97x = 385.56 × 120.29
  4. Step 4: Simplify right side
    256.97x = 46,377.08
  5. Step 5: Solve for x
    x = 46,377.08/256.97
  6. Step 6: Final answer
    x = 180.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.