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Finding the Fourth Proportional to 329.37, 454.57 and 196.63

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Solution

The fourth proportional to 329.37, 454.57 and 196.63 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.37 : 454.57 = 196.63 : x
  2. Step 2: Convert to fraction form
    329.37/454.57 = 196.63/x
  3. Step 3: Cross multiply
    329.37x = 454.57 × 196.63
  4. Step 4: Simplify right side
    329.37x = 89,380.47
  5. Step 5: Solve for x
    x = 89,380.47/329.37
  6. Step 6: Final answer
    x = 271.37

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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.