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Finding the Fourth Proportional to 327.53, 451.87 and 203.25

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Solution

The fourth proportional to 327.53, 451.87 and 203.25 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.53 : 451.87 = 203.25 : x
  2. Step 2: Convert to fraction form
    327.53/451.87 = 203.25/x
  3. Step 3: Cross multiply
    327.53x = 451.87 × 203.25
  4. Step 4: Simplify right side
    327.53x = 91,842.07
  5. Step 5: Solve for x
    x = 91,842.07/327.53
  6. Step 6: Final answer
    x = 280.41

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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.