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Finding the Fourth Proportional to 327.50, 451.94 and 180.12

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Solution

The fourth proportional to 327.50, 451.94 and 180.12 is: 248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.50 : 451.94 = 180.12 : x
  2. Step 2: Convert to fraction form
    327.50/451.94 = 180.12/x
  3. Step 3: Cross multiply
    327.50x = 451.94 × 180.12
  4. Step 4: Simplify right side
    327.50x = 81,403.43
  5. Step 5: Solve for x
    x = 81,403.43/327.50
  6. Step 6: Final answer
    x = 248.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.