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Finding the Fourth Proportional to 246.96, 369.77 and 197.97

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Solution

The fourth proportional to 246.96, 369.77 and 197.97 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.96 : 369.77 = 197.97 : x
  2. Step 2: Convert to fraction form
    246.96/369.77 = 197.97/x
  3. Step 3: Cross multiply
    246.96x = 369.77 × 197.97
  4. Step 4: Simplify right side
    246.96x = 73,202.38
  5. Step 5: Solve for x
    x = 73,202.38/246.96
  6. Step 6: Final answer
    x = 296.41

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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.