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Finding the Fourth Proportional to 327.55, 452.01 and 196.56

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Solution

The fourth proportional to 327.55, 452.01 and 196.56 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.55 : 452.01 = 196.56 : x
  2. Step 2: Convert to fraction form
    327.55/452.01 = 196.56/x
  3. Step 3: Cross multiply
    327.55x = 452.01 × 196.56
  4. Step 4: Simplify right side
    327.55x = 88,847.09
  5. Step 5: Solve for x
    x = 88,847.09/327.55
  6. Step 6: Final answer
    x = 271.25

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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.