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Finding the Fourth Proportional to 327.23, 451.41 and 196.01

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Solution

The fourth proportional to 327.23, 451.41 and 196.01 is: 270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.23 : 451.41 = 196.01 : x
  2. Step 2: Convert to fraction form
    327.23/451.41 = 196.01/x
  3. Step 3: Cross multiply
    327.23x = 451.41 × 196.01
  4. Step 4: Simplify right side
    327.23x = 88,480.87
  5. Step 5: Solve for x
    x = 88,480.87/327.23
  6. Step 6: Final answer
    x = 270.39

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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.