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Finding the Fourth Proportional to 311.98, 467.97 and 167.98

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Solution

The fourth proportional to 311.98, 467.97 and 167.98 is: 251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 467.97 = 167.98 : x
  2. Step 2: Convert to fraction form
    311.98/467.97 = 167.98/x
  3. Step 3: Cross multiply
    311.98x = 467.97 × 167.98
  4. Step 4: Simplify right side
    311.98x = 78,609.60
  5. Step 5: Solve for x
    x = 78,609.60/311.98
  6. Step 6: Final answer
    x = 251.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.