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Finding the Fourth Proportional to 311.75, 467.75 and 149.48

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Solution

The fourth proportional to 311.75, 467.75 and 149.48 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 467.75 = 149.48 : x
  2. Step 2: Convert to fraction form
    311.75/467.75 = 149.48/x
  3. Step 3: Cross multiply
    311.75x = 467.75 × 149.48
  4. Step 4: Simplify right side
    311.75x = 69,919.27
  5. Step 5: Solve for x
    x = 69,919.27/311.75
  6. Step 6: Final answer
    x = 224.28

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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.