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Finding the Fourth Proportional to 271.92, 406.11 and 235.44

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Solution

The fourth proportional to 271.92, 406.11 and 235.44 is: 351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.92 : 406.11 = 235.44 : x
  2. Step 2: Convert to fraction form
    271.92/406.11 = 235.44/x
  3. Step 3: Cross multiply
    271.92x = 406.11 × 235.44
  4. Step 4: Simplify right side
    271.92x = 95,614.54
  5. Step 5: Solve for x
    x = 95,614.54/271.92
  6. Step 6: Final answer
    x = 351.63

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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.