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Finding the Fourth Proportional to 311.18, 466.62 and 116.22

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Solution

The fourth proportional to 311.18, 466.62 and 116.22 is: 174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.18 : 466.62 = 116.22 : x
  2. Step 2: Convert to fraction form
    311.18/466.62 = 116.22/x
  3. Step 3: Cross multiply
    311.18x = 466.62 × 116.22
  4. Step 4: Simplify right side
    311.18x = 54,230.58
  5. Step 5: Solve for x
    x = 54,230.58/311.18
  6. Step 6: Final answer
    x = 174.27

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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.