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Finding the Fourth Proportional to 361.89, 499.41 and 196.11

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Solution

The fourth proportional to 361.89, 499.41 and 196.11 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 499.41 = 196.11 : x
  2. Step 2: Convert to fraction form
    361.89/499.41 = 196.11/x
  3. Step 3: Cross multiply
    361.89x = 499.41 × 196.11
  4. Step 4: Simplify right side
    361.89x = 97,936.31
  5. Step 5: Solve for x
    x = 97,936.31/361.89
  6. Step 6: Final answer
    x = 270.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.