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Finding the Fourth Proportional to 256.80, 385.08 and 74.15

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Solution

The fourth proportional to 256.80, 385.08 and 74.15 is: 111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.80 : 385.08 = 74.15 : x
  2. Step 2: Convert to fraction form
    256.80/385.08 = 74.15/x
  3. Step 3: Cross multiply
    256.80x = 385.08 × 74.15
  4. Step 4: Simplify right side
    256.80x = 28,553.68
  5. Step 5: Solve for x
    x = 28,553.68/256.80
  6. Step 6: Final answer
    x = 111.19

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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.