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Finding the Fourth Proportional to 198.72, 274.19 and 121.10

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Solution

The fourth proportional to 198.72, 274.19 and 121.10 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 274.19 = 121.10 : x
  2. Step 2: Convert to fraction form
    198.72/274.19 = 121.10/x
  3. Step 3: Cross multiply
    198.72x = 274.19 × 121.10
  4. Step 4: Simplify right side
    198.72x = 33,202.43
  5. Step 5: Solve for x
    x = 33,202.43/198.72
  6. Step 6: Final answer
    x = 167.08

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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.