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Finding the Fourth Proportional to 198.52, 274.04 and 120.96

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Solution

The fourth proportional to 198.52, 274.04 and 120.96 is: 166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 274.04 = 120.96 : x
  2. Step 2: Convert to fraction form
    198.52/274.04 = 120.96/x
  3. Step 3: Cross multiply
    198.52x = 274.04 × 120.96
  4. Step 4: Simplify right side
    198.52x = 33,147.88
  5. Step 5: Solve for x
    x = 33,147.88/198.52
  6. Step 6: Final answer
    x = 166.98

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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.