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Finding the Fourth Proportional to 327.45, 451.95 and 196.53

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Solution

The fourth proportional to 327.45, 451.95 and 196.53 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.45 : 451.95 = 196.53 : x
  2. Step 2: Convert to fraction form
    327.45/451.95 = 196.53/x
  3. Step 3: Cross multiply
    327.45x = 451.95 × 196.53
  4. Step 4: Simplify right side
    327.45x = 88,821.73
  5. Step 5: Solve for x
    x = 88,821.73/327.45
  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.