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Finding the Fourth Proportional to 443.81, 665.85 and 196.97

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Solution

The fourth proportional to 443.81, 665.85 and 196.97 is: 295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.81 : 665.85 = 196.97 : x
  2. Step 2: Convert to fraction form
    443.81/665.85 = 196.97/x
  3. Step 3: Cross multiply
    443.81x = 665.85 × 196.97
  4. Step 4: Simplify right side
    443.81x = 131,154.14
  5. Step 5: Solve for x
    x = 131,154.14/443.81
  6. Step 6: Final answer
    x = 295.52

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