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Finding the Fourth Proportional to 327.71, 452.32 and 196.70

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Solution

The fourth proportional to 327.71, 452.32 and 196.70 is: 271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.71 : 452.32 = 196.70 : x
  2. Step 2: Convert to fraction form
    327.71/452.32 = 196.70/x
  3. Step 3: Cross multiply
    327.71x = 452.32 × 196.70
  4. Step 4: Simplify right side
    327.71x = 88,968.59
  5. Step 5: Solve for x
    x = 88,968.59/327.71
  6. Step 6: Final answer
    x = 271.48

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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.