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Finding the Fourth Proportional to 311.89, 467.56 and 119.38

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Solution

The fourth proportional to 311.89, 467.56 and 119.38 is: 178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.89 : 467.56 = 119.38 : x
  2. Step 2: Convert to fraction form
    311.89/467.56 = 119.38/x
  3. Step 3: Cross multiply
    311.89x = 467.56 × 119.38
  4. Step 4: Simplify right side
    311.89x = 55,817.31
  5. Step 5: Solve for x
    x = 55,817.31/311.89
  6. Step 6: Final answer
    x = 178.96

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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.