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Finding the Fourth Proportional to 271.40, 406.60 and 168.76

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Solution

The fourth proportional to 271.40, 406.60 and 168.76 is: 252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.40 : 406.60 = 168.76 : x
  2. Step 2: Convert to fraction form
    271.40/406.60 = 168.76/x
  3. Step 3: Cross multiply
    271.40x = 406.60 × 168.76
  4. Step 4: Simplify right side
    271.40x = 68,617.82
  5. Step 5: Solve for x
    x = 68,617.82/271.40
  6. Step 6: Final answer
    x = 252.83

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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.