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Finding the Fourth Proportional to 403.82, 605.19 and 198.11

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Solution

The fourth proportional to 403.82, 605.19 and 198.11 is: 296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.82 : 605.19 = 198.11 : x
  2. Step 2: Convert to fraction form
    403.82/605.19 = 198.11/x
  3. Step 3: Cross multiply
    403.82x = 605.19 × 198.11
  4. Step 4: Simplify right side
    403.82x = 119,891.16
  5. Step 5: Solve for x
    x = 119,891.16/403.82
  6. Step 6: Final answer
    x = 296.90

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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.