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Finding the Fourth Proportional to 336.80, 464.67 and 196.89

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Solution

The fourth proportional to 336.80, 464.67 and 196.89 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 464.67 = 196.89 : x
  2. Step 2: Convert to fraction form
    336.80/464.67 = 196.89/x
  3. Step 3: Cross multiply
    336.80x = 464.67 × 196.89
  4. Step 4: Simplify right side
    336.80x = 91,488.88
  5. Step 5: Solve for x
    x = 91,488.88/336.80
  6. Step 6: Final answer
    x = 271.65

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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.