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Finding the Fourth Proportional to 329.65, 455.02 and 196.97

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Solution

The fourth proportional to 329.65, 455.02 and 196.97 is: 271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.65 : 455.02 = 196.97 : x
  2. Step 2: Convert to fraction form
    329.65/455.02 = 196.97/x
  3. Step 3: Cross multiply
    329.65x = 455.02 × 196.97
  4. Step 4: Simplify right side
    329.65x = 89,622.52
  5. Step 5: Solve for x
    x = 89,622.52/329.65
  6. Step 6: Final answer
    x = 271.87

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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.