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Finding the Fourth Proportional to 198.64, 274.12 and 149.44

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Solution

The fourth proportional to 198.64, 274.12 and 149.44 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 274.12 = 149.44 : x
  2. Step 2: Convert to fraction form
    198.64/274.12 = 149.44/x
  3. Step 3: Cross multiply
    198.64x = 274.12 × 149.44
  4. Step 4: Simplify right side
    198.64x = 40,964.49
  5. Step 5: Solve for x
    x = 40,964.49/198.64
  6. Step 6: Final answer
    x = 206.22

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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.