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Finding the Fourth Proportional to 327.47, 451.88 and 196.45

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Solution

The fourth proportional to 327.47, 451.88 and 196.45 is: 271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.47 : 451.88 = 196.45 : x
  2. Step 2: Convert to fraction form
    327.47/451.88 = 196.45/x
  3. Step 3: Cross multiply
    327.47x = 451.88 × 196.45
  4. Step 4: Simplify right side
    327.47x = 88,769.71
  5. Step 5: Solve for x
    x = 88,769.71/327.47
  6. Step 6: Final answer
    x = 271.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.