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Finding the Fourth Proportional to 256.68, 382.95 and 249.66

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Solution

The fourth proportional to 256.68, 382.95 and 249.66 is: 372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.68 : 382.95 = 249.66 : x
  2. Step 2: Convert to fraction form
    256.68/382.95 = 249.66/x
  3. Step 3: Cross multiply
    256.68x = 382.95 × 249.66
  4. Step 4: Simplify right side
    256.68x = 95,607.30
  5. Step 5: Solve for x
    x = 95,607.30/256.68
  6. Step 6: Final answer
    x = 372.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.