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Finding the Fourth Proportional to 271.20, 406.97 and 117.17

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Solution

The fourth proportional to 271.20, 406.97 and 117.17 is: 175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.20 : 406.97 = 117.17 : x
  2. Step 2: Convert to fraction form
    271.20/406.97 = 117.17/x
  3. Step 3: Cross multiply
    271.20x = 406.97 × 117.17
  4. Step 4: Simplify right side
    271.20x = 47,684.67
  5. Step 5: Solve for x
    x = 47,684.67/271.20
  6. Step 6: Final answer
    x = 175.83

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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.