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Finding the Fourth Proportional to 271.35, 406.22 and 168.31

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Solution

The fourth proportional to 271.35, 406.22 and 168.31 is: 251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.35 : 406.22 = 168.31 : x
  2. Step 2: Convert to fraction form
    271.35/406.22 = 168.31/x
  3. Step 3: Cross multiply
    271.35x = 406.22 × 168.31
  4. Step 4: Simplify right side
    271.35x = 68,370.55
  5. Step 5: Solve for x
    x = 68,370.55/271.35
  6. Step 6: Final answer
    x = 251.96

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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.