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Finding the Fourth Proportional to 327.12, 451.43 and 179.76

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Solution

The fourth proportional to 327.12, 451.43 and 179.76 is: 248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 451.43 = 179.76 : x
  2. Step 2: Convert to fraction form
    327.12/451.43 = 179.76/x
  3. Step 3: Cross multiply
    327.12x = 451.43 × 179.76
  4. Step 4: Simplify right side
    327.12x = 81,146.80
  5. Step 5: Solve for x
    x = 81,146.80/327.12
  6. Step 6: Final answer
    x = 248.06

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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.