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Finding the Fourth Proportional to 327.76, 452.31 and 180.41

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Solution

The fourth proportional to 327.76, 452.31 and 180.41 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.76 : 452.31 = 180.41 : x
  2. Step 2: Convert to fraction form
    327.76/452.31 = 180.41/x
  3. Step 3: Cross multiply
    327.76x = 452.31 × 180.41
  4. Step 4: Simplify right side
    327.76x = 81,601.25
  5. Step 5: Solve for x
    x = 81,601.25/327.76
  6. Step 6: Final answer
    x = 248.97

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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.