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Finding the Fourth Proportional to 311.90, 467.91 and 129.31

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Solution

The fourth proportional to 311.90, 467.91 and 129.31 is: 193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.90 : 467.91 = 129.31 : x
  2. Step 2: Convert to fraction form
    311.90/467.91 = 129.31/x
  3. Step 3: Cross multiply
    311.90x = 467.91 × 129.31
  4. Step 4: Simplify right side
    311.90x = 60,502.46
  5. Step 5: Solve for x
    x = 60,502.46/311.90
  6. Step 6: Final answer
    x = 193.98

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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.