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Finding the Fourth Proportional to 198.73, 274.11 and 136.45

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Solution

The fourth proportional to 198.73, 274.11 and 136.45 is: 188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.73 : 274.11 = 136.45 : x
  2. Step 2: Convert to fraction form
    198.73/274.11 = 136.45/x
  3. Step 3: Cross multiply
    198.73x = 274.11 × 136.45
  4. Step 4: Simplify right side
    198.73x = 37,402.31
  5. Step 5: Solve for x
    x = 37,402.31/198.73
  6. Step 6: Final answer
    x = 188.21

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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.