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Finding the Fourth Proportional to 268.48, 369.92 and 190.72

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Solution

The fourth proportional to 268.48, 369.92 and 190.72 is: 262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.48 : 369.92 = 190.72 : x
  2. Step 2: Convert to fraction form
    268.48/369.92 = 190.72/x
  3. Step 3: Cross multiply
    268.48x = 369.92 × 190.72
  4. Step 4: Simplify right side
    268.48x = 70,551.14
  5. Step 5: Solve for x
    x = 70,551.14/268.48
  6. Step 6: Final answer
    x = 262.78

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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.