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Finding the Fourth Proportional to 256.91, 385.38 and 185.24

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Solution

The fourth proportional to 256.91, 385.38 and 185.24 is: 277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 385.38 = 185.24 : x
  2. Step 2: Convert to fraction form
    256.91/385.38 = 185.24/x
  3. Step 3: Cross multiply
    256.91x = 385.38 × 185.24
  4. Step 4: Simplify right side
    256.91x = 71,387.79
  5. Step 5: Solve for x
    x = 71,387.79/256.91
  6. Step 6: Final answer
    x = 277.87

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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.