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Finding the Fourth Proportional to 268.68, 401.25 and 227.73

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Solution

The fourth proportional to 268.68, 401.25 and 227.73 is: 340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.68 : 401.25 = 227.73 : x
  2. Step 2: Convert to fraction form
    268.68/401.25 = 227.73/x
  3. Step 3: Cross multiply
    268.68x = 401.25 × 227.73
  4. Step 4: Simplify right side
    268.68x = 91,376.66
  5. Step 5: Solve for x
    x = 91,376.66/268.68
  6. Step 6: Final answer
    x = 340.09

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Why These Related Problems?

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