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Finding the Fourth Proportional to 327.33, 451.69 and 179.97

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Solution

The fourth proportional to 327.33, 451.69 and 179.97 is: 248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.33 : 451.69 = 179.97 : x
  2. Step 2: Convert to fraction form
    327.33/451.69 = 179.97/x
  3. Step 3: Cross multiply
    327.33x = 451.69 × 179.97
  4. Step 4: Simplify right side
    327.33x = 81,290.65
  5. Step 5: Solve for x
    x = 81,290.65/327.33
  6. Step 6: Final answer
    x = 248.34

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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.