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Finding the Fourth Proportional to 198.72, 274.25 and 111.42

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Solution

The fourth proportional to 198.72, 274.25 and 111.42 is: 153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 274.25 = 111.42 : x
  2. Step 2: Convert to fraction form
    198.72/274.25 = 111.42/x
  3. Step 3: Cross multiply
    198.72x = 274.25 × 111.42
  4. Step 4: Simplify right side
    198.72x = 30,556.94
  5. Step 5: Solve for x
    x = 30,556.94/198.72
  6. Step 6: Final answer
    x = 153.77

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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.