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Finding the Fourth Proportional to 329.29, 454.46 and 198.29

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Solution

The fourth proportional to 329.29, 454.46 and 198.29 is: 273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.29 : 454.46 = 198.29 : x
  2. Step 2: Convert to fraction form
    329.29/454.46 = 198.29/x
  3. Step 3: Cross multiply
    329.29x = 454.46 × 198.29
  4. Step 4: Simplify right side
    329.29x = 90,115.02
  5. Step 5: Solve for x
    x = 90,115.02/329.29
  6. Step 6: Final answer
    x = 273.67

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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.