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Finding the Fourth Proportional to 198.09, 296.63 and 120.95

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Solution

The fourth proportional to 198.09, 296.63 and 120.95 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.09 : 296.63 = 120.95 : x
  2. Step 2: Convert to fraction form
    198.09/296.63 = 120.95/x
  3. Step 3: Cross multiply
    198.09x = 296.63 × 120.95
  4. Step 4: Simplify right side
    198.09x = 35,877.54
  5. Step 5: Solve for x
    x = 35,877.54/198.09
  6. Step 6: Final answer
    x = 181.12

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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.