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Finding the Fourth Proportional to 268.92, 371.40 and 225.48

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Solution

The fourth proportional to 268.92, 371.40 and 225.48 is: 311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.92 : 371.40 = 225.48 : x
  2. Step 2: Convert to fraction form
    268.92/371.40 = 225.48/x
  3. Step 3: Cross multiply
    268.92x = 371.40 × 225.48
  4. Step 4: Simplify right side
    268.92x = 83,743.27
  5. Step 5: Solve for x
    x = 83,743.27/268.92
  6. Step 6: Final answer
    x = 311.41

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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.