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Finding the Fourth Proportional to 327.22, 451.57 and 179.85

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Solution

The fourth proportional to 327.22, 451.57 and 179.85 is: 248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.22 : 451.57 = 179.85 : x
  2. Step 2: Convert to fraction form
    327.22/451.57 = 179.85/x
  3. Step 3: Cross multiply
    327.22x = 451.57 × 179.85
  4. Step 4: Simplify right side
    327.22x = 81,214.86
  5. Step 5: Solve for x
    x = 81,214.86/327.22
  6. Step 6: Final answer
    x = 248.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.