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Finding the Fourth Proportional to 329.74, 455.02 and 198.73

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Solution

The fourth proportional to 329.74, 455.02 and 198.73 is: 274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.74 : 455.02 = 198.73 : x
  2. Step 2: Convert to fraction form
    329.74/455.02 = 198.73/x
  3. Step 3: Cross multiply
    329.74x = 455.02 × 198.73
  4. Step 4: Simplify right side
    329.74x = 90,426.12
  5. Step 5: Solve for x
    x = 90,426.12/329.74
  6. Step 6: Final answer
    x = 274.23

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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.