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Finding the Fourth Proportional to 256.10, 382.54 and 251.78

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Solution

The fourth proportional to 256.10, 382.54 and 251.78 is: 376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.10 : 382.54 = 251.78 : x
  2. Step 2: Convert to fraction form
    256.10/382.54 = 251.78/x
  3. Step 3: Cross multiply
    256.10x = 382.54 × 251.78
  4. Step 4: Simplify right side
    256.10x = 96,315.92
  5. Step 5: Solve for x
    x = 96,315.92/256.10
  6. Step 6: Final answer
    x = 376.09

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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.