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Finding the Fourth Proportional to 329.42, 454.67 and 198.41

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Solution

The fourth proportional to 329.42, 454.67 and 198.41 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.42 : 454.67 = 198.41 : x
  2. Step 2: Convert to fraction form
    329.42/454.67 = 198.41/x
  3. Step 3: Cross multiply
    329.42x = 454.67 × 198.41
  4. Step 4: Simplify right side
    329.42x = 90,207.81
  5. Step 5: Solve for x
    x = 90,207.81/329.42
  6. Step 6: Final answer
    x = 273.84

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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.