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Finding the Fourth Proportional to 311.88, 467.69 and 129.14

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Solution

The fourth proportional to 311.88, 467.69 and 129.14 is: 193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 467.69 = 129.14 : x
  2. Step 2: Convert to fraction form
    311.88/467.69 = 129.14/x
  3. Step 3: Cross multiply
    311.88x = 467.69 × 129.14
  4. Step 4: Simplify right side
    311.88x = 60,397.49
  5. Step 5: Solve for x
    x = 60,397.49/311.88
  6. Step 6: Final answer
    x = 193.66

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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.