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Finding the Fourth Proportional to 327.54, 451.99 and 180.15

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Solution

The fourth proportional to 327.54, 451.99 and 180.15 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.54 : 451.99 = 180.15 : x
  2. Step 2: Convert to fraction form
    327.54/451.99 = 180.15/x
  3. Step 3: Cross multiply
    327.54x = 451.99 × 180.15
  4. Step 4: Simplify right side
    327.54x = 81,425.55
  5. Step 5: Solve for x
    x = 81,425.55/327.54
  6. Step 6: Final answer
    x = 248.60

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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.