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Finding the Fourth Proportional to 327.78, 452.14 and 203.54

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Solution

The fourth proportional to 327.78, 452.14 and 203.54 is: 280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.78 : 452.14 = 203.54 : x
  2. Step 2: Convert to fraction form
    327.78/452.14 = 203.54/x
  3. Step 3: Cross multiply
    327.78x = 452.14 × 203.54
  4. Step 4: Simplify right side
    327.78x = 92,025.81
  5. Step 5: Solve for x
    x = 92,025.81/327.78
  6. Step 6: Final answer
    x = 280.75

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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.