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Finding the Fourth Proportional to 327.60, 452.09 and 180.23

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Solution

The fourth proportional to 327.60, 452.09 and 180.23 is: 248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 452.09 = 180.23 : x
  2. Step 2: Convert to fraction form
    327.60/452.09 = 180.23/x
  3. Step 3: Cross multiply
    327.60x = 452.09 × 180.23
  4. Step 4: Simplify right side
    327.60x = 81,481.31
  5. Step 5: Solve for x
    x = 81,481.31/327.60
  6. Step 6: Final answer
    x = 248.73

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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.