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Finding the Fourth Proportional to 198.82, 274.39 and 110.31

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Solution

The fourth proportional to 198.82, 274.39 and 110.31 is: 152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 274.39 = 110.31 : x
  2. Step 2: Convert to fraction form
    198.82/274.39 = 110.31/x
  3. Step 3: Cross multiply
    198.82x = 274.39 × 110.31
  4. Step 4: Simplify right side
    198.82x = 30,268.20
  5. Step 5: Solve for x
    x = 30,268.20/198.82
  6. Step 6: Final answer
    x = 152.24

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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.