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Finding the Fourth Proportional to 311.42, 467.01 and 137.97

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Solution

The fourth proportional to 311.42, 467.01 and 137.97 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.42 : 467.01 = 137.97 : x
  2. Step 2: Convert to fraction form
    311.42/467.01 = 137.97/x
  3. Step 3: Cross multiply
    311.42x = 467.01 × 137.97
  4. Step 4: Simplify right side
    311.42x = 64,431.03
  5. Step 5: Solve for x
    x = 64,431.03/311.42
  6. Step 6: Final answer
    x = 206.90

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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.