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Finding the Fourth Proportional to 198, 296.74 and 76.11

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Solution

The fourth proportional to 198, 296.74 and 76.11 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 296.74 = 76.11 : x
  2. Step 2: Convert to fraction form
    198/296.74 = 76.11/x
  3. Step 3: Cross multiply
    198x = 296.74 × 76.11
  4. Step 4: Simplify right side
    198x = 22,584.88
  5. Step 5: Solve for x
    x = 22,584.88/198
  6. Step 6: Final answer
    x = 114.07

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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.