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Finding the Fourth Proportional to 268.27, 369.96 and 174.92

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Solution

The fourth proportional to 268.27, 369.96 and 174.92 is: 241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.27 : 369.96 = 174.92 : x
  2. Step 2: Convert to fraction form
    268.27/369.96 = 174.92/x
  3. Step 3: Cross multiply
    268.27x = 369.96 × 174.92
  4. Step 4: Simplify right side
    268.27x = 64,713.40
  5. Step 5: Solve for x
    x = 64,713.40/268.27
  6. Step 6: Final answer
    x = 241.22

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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.