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Finding the Fourth Proportional to 256.92, 385.42 and 83.58

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Solution

The fourth proportional to 256.92, 385.42 and 83.58 is: 125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.92 : 385.42 = 83.58 : x
  2. Step 2: Convert to fraction form
    256.92/385.42 = 83.58/x
  3. Step 3: Cross multiply
    256.92x = 385.42 × 83.58
  4. Step 4: Simplify right side
    256.92x = 32,213.40
  5. Step 5: Solve for x
    x = 32,213.40/256.92
  6. Step 6: Final answer
    x = 125.38

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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.