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Finding the Fourth Proportional to 329.66, 454.88 and 196.92

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Solution

The fourth proportional to 329.66, 454.88 and 196.92 is: 271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.66 : 454.88 = 196.92 : x
  2. Step 2: Convert to fraction form
    329.66/454.88 = 196.92/x
  3. Step 3: Cross multiply
    329.66x = 454.88 × 196.92
  4. Step 4: Simplify right side
    329.66x = 89,574.97
  5. Step 5: Solve for x
    x = 89,574.97/329.66
  6. Step 6: Final answer
    x = 271.72

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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.