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Finding the Fourth Proportional to 271.09, 374.17 and 252.85

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Solution

The fourth proportional to 271.09, 374.17 and 252.85 is: 348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.09 : 374.17 = 252.85 : x
  2. Step 2: Convert to fraction form
    271.09/374.17 = 252.85/x
  3. Step 3: Cross multiply
    271.09x = 374.17 × 252.85
  4. Step 4: Simplify right side
    271.09x = 94,608.88
  5. Step 5: Solve for x
    x = 94,608.88/271.09
  6. Step 6: Final answer
    x = 348.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.