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Finding the Fourth Proportional to 311.68, 467.14 and 137.97

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Solution

The fourth proportional to 311.68, 467.14 and 137.97 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.68 : 467.14 = 137.97 : x
  2. Step 2: Convert to fraction form
    311.68/467.14 = 137.97/x
  3. Step 3: Cross multiply
    311.68x = 467.14 × 137.97
  4. Step 4: Simplify right side
    311.68x = 64,452.82
  5. Step 5: Solve for x
    x = 64,452.82/311.68
  6. Step 6: Final answer
    x = 206.79

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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.