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Finding the Fourth Proportional to 311.46, 467.11 and 92.03

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Solution

The fourth proportional to 311.46, 467.11 and 92.03 is: 138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.46 : 467.11 = 92.03 : x
  2. Step 2: Convert to fraction form
    311.46/467.11 = 92.03/x
  3. Step 3: Cross multiply
    311.46x = 467.11 × 92.03
  4. Step 4: Simplify right side
    311.46x = 42,987.67
  5. Step 5: Solve for x
    x = 42,987.67/311.46
  6. Step 6: Final answer
    x = 138.02

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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.