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Finding the Fourth Proportional to 336.46, 464.17 and 196.57

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Solution

The fourth proportional to 336.46, 464.17 and 196.57 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.46 : 464.17 = 196.57 : x
  2. Step 2: Convert to fraction form
    336.46/464.17 = 196.57/x
  3. Step 3: Cross multiply
    336.46x = 464.17 × 196.57
  4. Step 4: Simplify right side
    336.46x = 91,241.90
  5. Step 5: Solve for x
    x = 91,241.90/336.46
  6. Step 6: Final answer
    x = 271.18

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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.