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Finding the Fourth Proportional to 271, 406.57 and 116.85

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Solution

The fourth proportional to 271, 406.57 and 116.85 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 406.57 = 116.85 : x
  2. Step 2: Convert to fraction form
    271/406.57 = 116.85/x
  3. Step 3: Cross multiply
    271x = 406.57 × 116.85
  4. Step 4: Simplify right side
    271x = 47,507.70
  5. Step 5: Solve for x
    x = 47,507.70/271
  6. Step 6: Final answer
    x = 175.31

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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.