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Finding the Fourth Proportional to 271.28, 406.22 and 255.56

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Solution

The fourth proportional to 271.28, 406.22 and 255.56 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.28 : 406.22 = 255.56 : x
  2. Step 2: Convert to fraction form
    271.28/406.22 = 255.56/x
  3. Step 3: Cross multiply
    271.28x = 406.22 × 255.56
  4. Step 4: Simplify right side
    271.28x = 103,813.58
  5. Step 5: Solve for x
    x = 103,813.58/271.28
  6. Step 6: Final answer
    x = 382.68

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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.