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Finding the Fourth Proportional to 198.09, 296.95 and 69.77

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Solution

The fourth proportional to 198.09, 296.95 and 69.77 is: 104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.09 : 296.95 = 69.77 : x
  2. Step 2: Convert to fraction form
    198.09/296.95 = 69.77/x
  3. Step 3: Cross multiply
    198.09x = 296.95 × 69.77
  4. Step 4: Simplify right side
    198.09x = 20,718.20
  5. Step 5: Solve for x
    x = 20,718.20/198.09
  6. Step 6: Final answer
    x = 104.59

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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.