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Finding the Fourth Proportional to 327.79, 452.40 and 196.87

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Solution

The fourth proportional to 327.79, 452.40 and 196.87 is: 271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.79 : 452.40 = 196.87 : x
  2. Step 2: Convert to fraction form
    327.79/452.40 = 196.87/x
  3. Step 3: Cross multiply
    327.79x = 452.40 × 196.87
  4. Step 4: Simplify right side
    327.79x = 89,063.99
  5. Step 5: Solve for x
    x = 89,063.99/327.79
  6. Step 6: Final answer
    x = 271.71

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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.