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Finding the Fourth Proportional to 198.90, 274.41 and 149.67

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Solution

The fourth proportional to 198.90, 274.41 and 149.67 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.90 : 274.41 = 149.67 : x
  2. Step 2: Convert to fraction form
    198.90/274.41 = 149.67/x
  3. Step 3: Cross multiply
    198.90x = 274.41 × 149.67
  4. Step 4: Simplify right side
    198.90x = 41,070.94
  5. Step 5: Solve for x
    x = 41,070.94/198.90
  6. Step 6: Final answer
    x = 206.49

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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.