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Finding the Fourth Proportional to 268.75, 370.92 and 203.14

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Solution

The fourth proportional to 268.75, 370.92 and 203.14 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.75 : 370.92 = 203.14 : x
  2. Step 2: Convert to fraction form
    268.75/370.92 = 203.14/x
  3. Step 3: Cross multiply
    268.75x = 370.92 × 203.14
  4. Step 4: Simplify right side
    268.75x = 75,348.69
  5. Step 5: Solve for x
    x = 75,348.69/268.75
  6. Step 6: Final answer
    x = 280.37

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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.