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Finding the Fourth Proportional to 268.94, 401.23 and 229.97

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Solution

The fourth proportional to 268.94, 401.23 and 229.97 is: 343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.94 : 401.23 = 229.97 : x
  2. Step 2: Convert to fraction form
    268.94/401.23 = 229.97/x
  3. Step 3: Cross multiply
    268.94x = 401.23 × 229.97
  4. Step 4: Simplify right side
    268.94x = 92,268.28
  5. Step 5: Solve for x
    x = 92,268.28/268.94
  6. Step 6: Final answer
    x = 343.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.