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Finding the Fourth Proportional to 271.28, 374.49 and 212.13

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Solution

The fourth proportional to 271.28, 374.49 and 212.13 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.28 : 374.49 = 212.13 : x
  2. Step 2: Convert to fraction form
    271.28/374.49 = 212.13/x
  3. Step 3: Cross multiply
    271.28x = 374.49 × 212.13
  4. Step 4: Simplify right side
    271.28x = 79,440.56
  5. Step 5: Solve for x
    x = 79,440.56/271.28
  6. Step 6: Final answer
    x = 292.83

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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.