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Finding the Fourth Proportional to 327.73, 452.00 and 203.15

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Solution

The fourth proportional to 327.73, 452.00 and 203.15 is: 280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.73 : 452.00 = 203.15 : x
  2. Step 2: Convert to fraction form
    327.73/452.00 = 203.15/x
  3. Step 3: Cross multiply
    327.73x = 452.00 × 203.15
  4. Step 4: Simplify right side
    327.73x = 91,825.44
  5. Step 5: Solve for x
    x = 91,825.44/327.73
  6. Step 6: Final answer
    x = 280.19

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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.