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Finding the Fourth Proportional to 311.73, 467.30 and 149.22

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Solution

The fourth proportional to 311.73, 467.30 and 149.22 is: 223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.73 : 467.30 = 149.22 : x
  2. Step 2: Convert to fraction form
    311.73/467.30 = 149.22/x
  3. Step 3: Cross multiply
    311.73x = 467.30 × 149.22
  4. Step 4: Simplify right side
    311.73x = 69,729.76
  5. Step 5: Solve for x
    x = 69,729.76/311.73
  6. Step 6: Final answer
    x = 223.69

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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.