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Finding the Fourth Proportional to 311.20, 466.96 and 148.86

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Solution

The fourth proportional to 311.20, 466.96 and 148.86 is: 223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.20 : 466.96 = 148.86 : x
  2. Step 2: Convert to fraction form
    311.20/466.96 = 148.86/x
  3. Step 3: Cross multiply
    311.20x = 466.96 × 148.86
  4. Step 4: Simplify right side
    311.20x = 69,511.67
  5. Step 5: Solve for x
    x = 69,511.67/311.20
  6. Step 6: Final answer
    x = 223.37

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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.