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Finding the Fourth Proportional to 321.92, 483 and 167.75

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Solution

The fourth proportional to 321.92, 483 and 167.75 is: 251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.92 : 483 = 167.75 : x
  2. Step 2: Convert to fraction form
    321.92/483 = 167.75/x
  3. Step 3: Cross multiply
    321.92x = 483 × 167.75
  4. Step 4: Simplify right side
    321.92x = 81,023.25
  5. Step 5: Solve for x
    x = 81,023.25/321.92
  6. Step 6: Final answer
    x = 251.69

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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.