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Finding the Fourth Proportional to 327.52, 451.92 and 203.14

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Solution

The fourth proportional to 327.52, 451.92 and 203.14 is: 280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 451.92 = 203.14 : x
  2. Step 2: Convert to fraction form
    327.52/451.92 = 203.14/x
  3. Step 3: Cross multiply
    327.52x = 451.92 × 203.14
  4. Step 4: Simplify right side
    327.52x = 91,803.03
  5. Step 5: Solve for x
    x = 91,803.03/327.52
  6. Step 6: Final answer
    x = 280.30

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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.