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Finding the Fourth Proportional to 256.91, 385.41 and 83.58

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Solution

The fourth proportional to 256.91, 385.41 and 83.58 is: 125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 385.41 = 83.58 : x
  2. Step 2: Convert to fraction form
    256.91/385.41 = 83.58/x
  3. Step 3: Cross multiply
    256.91x = 385.41 × 83.58
  4. Step 4: Simplify right side
    256.91x = 32,212.57
  5. Step 5: Solve for x
    x = 32,212.57/256.91
  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.