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Finding the Fourth Proportional to 329.43, 454.46 and 196.57

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Solution

The fourth proportional to 329.43, 454.46 and 196.57 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.43 : 454.46 = 196.57 : x
  2. Step 2: Convert to fraction form
    329.43/454.46 = 196.57/x
  3. Step 3: Cross multiply
    329.43x = 454.46 × 196.57
  4. Step 4: Simplify right side
    329.43x = 89,330.23
  5. Step 5: Solve for x
    x = 89,330.23/329.43
  6. Step 6: Final answer
    x = 271.16

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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.