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Finding the Fourth Proportional to 198.69, 274.22 and 149.49

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Solution

The fourth proportional to 198.69, 274.22 and 149.49 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 274.22 = 149.49 : x
  2. Step 2: Convert to fraction form
    198.69/274.22 = 149.49/x
  3. Step 3: Cross multiply
    198.69x = 274.22 × 149.49
  4. Step 4: Simplify right side
    198.69x = 40,993.15
  5. Step 5: Solve for x
    x = 40,993.15/198.69
  6. Step 6: Final answer
    x = 206.32

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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.