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Finding the Fourth Proportional to 256.72, 385.08 and 83.38

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Solution

The fourth proportional to 256.72, 385.08 and 83.38 is: 125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.72 : 385.08 = 83.38 : x
  2. Step 2: Convert to fraction form
    256.72/385.08 = 83.38/x
  3. Step 3: Cross multiply
    256.72x = 385.08 × 83.38
  4. Step 4: Simplify right side
    256.72x = 32,107.97
  5. Step 5: Solve for x
    x = 32,107.97/256.72
  6. Step 6: Final answer
    x = 125.07

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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.