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Finding the Fourth Proportional to 348.67, 481.12 and 199.27

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Solution

The fourth proportional to 348.67, 481.12 and 199.27 is: 274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.67 : 481.12 = 199.27 : x
  2. Step 2: Convert to fraction form
    348.67/481.12 = 199.27/x
  3. Step 3: Cross multiply
    348.67x = 481.12 × 199.27
  4. Step 4: Simplify right side
    348.67x = 95,872.78
  5. Step 5: Solve for x
    x = 95,872.78/348.67
  6. Step 6: Final answer
    x = 274.97

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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.