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Finding the Fourth Proportional to 327.45, 451.75 and 196.46

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Solution

The fourth proportional to 327.45, 451.75 and 196.46 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.45 : 451.75 = 196.46 : x
  2. Step 2: Convert to fraction form
    327.45/451.75 = 196.46/x
  3. Step 3: Cross multiply
    327.45x = 451.75 × 196.46
  4. Step 4: Simplify right side
    327.45x = 88,750.81
  5. Step 5: Solve for x
    x = 88,750.81/327.45
  6. Step 6: Final answer
    x = 271.04

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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.