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Finding the Fourth Proportional to 311.27, 466.34 and 148.73

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Solution

The fourth proportional to 311.27, 466.34 and 148.73 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.27 : 466.34 = 148.73 : x
  2. Step 2: Convert to fraction form
    311.27/466.34 = 148.73/x
  3. Step 3: Cross multiply
    311.27x = 466.34 × 148.73
  4. Step 4: Simplify right side
    311.27x = 69,355.67
  5. Step 5: Solve for x
    x = 69,355.67/311.27
  6. Step 6: Final answer
    x = 222.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.