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Finding the Fourth Proportional to 198, 296.42 and 137

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Solution

The fourth proportional to 198, 296.42 and 137 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 296.42 = 137 : x
  2. Step 2: Convert to fraction form
    198/296.42 = 137/x
  3. Step 3: Cross multiply
    198x = 296.42 × 137
  4. Step 4: Simplify right side
    198x = 40,609.54
  5. Step 5: Solve for x
    x = 40,609.54/198
  6. Step 6: Final answer
    x = 205.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.