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Finding the Fourth Proportional to 301.67, 416.13 and 196.73

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Solution

The fourth proportional to 301.67, 416.13 and 196.73 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.67 : 416.13 = 196.73 : x
  2. Step 2: Convert to fraction form
    301.67/416.13 = 196.73/x
  3. Step 3: Cross multiply
    301.67x = 416.13 × 196.73
  4. Step 4: Simplify right side
    301.67x = 81,865.25
  5. Step 5: Solve for x
    x = 81,865.25/301.67
  6. Step 6: Final answer
    x = 271.37

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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.