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Finding the Fourth Proportional to 256.74, 385.02 and 112.29

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Solution

The fourth proportional to 256.74, 385.02 and 112.29 is: 168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 385.02 = 112.29 : x
  2. Step 2: Convert to fraction form
    256.74/385.02 = 112.29/x
  3. Step 3: Cross multiply
    256.74x = 385.02 × 112.29
  4. Step 4: Simplify right side
    256.74x = 43,233.90
  5. Step 5: Solve for x
    x = 43,233.90/256.74
  6. Step 6: Final answer
    x = 168.40

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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.