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Finding the Fourth Proportional to 256.83, 383.68 and 255.61

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Solution

The fourth proportional to 256.83, 383.68 and 255.61 is: 381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.83 : 383.68 = 255.61 : x
  2. Step 2: Convert to fraction form
    256.83/383.68 = 255.61/x
  3. Step 3: Cross multiply
    256.83x = 383.68 × 255.61
  4. Step 4: Simplify right side
    256.83x = 98,072.44
  5. Step 5: Solve for x
    x = 98,072.44/256.83
  6. Step 6: Final answer
    x = 381.86

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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.