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Finding the Fourth Proportional to 271.96, 408.13 and 185.09

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Solution

The fourth proportional to 271.96, 408.13 and 185.09 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.96 : 408.13 = 185.09 : x
  2. Step 2: Convert to fraction form
    271.96/408.13 = 185.09/x
  3. Step 3: Cross multiply
    271.96x = 408.13 × 185.09
  4. Step 4: Simplify right side
    271.96x = 75,538.28
  5. Step 5: Solve for x
    x = 75,538.28/271.96
  6. Step 6: Final answer
    x = 277.76

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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.