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Finding the Fourth Proportional to 277.44, 382.64 and 194.49

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Solution

The fourth proportional to 277.44, 382.64 and 194.49 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 382.64 = 194.49 : x
  2. Step 2: Convert to fraction form
    277.44/382.64 = 194.49/x
  3. Step 3: Cross multiply
    277.44x = 382.64 × 194.49
  4. Step 4: Simplify right side
    277.44x = 74,418.68
  5. Step 5: Solve for x
    x = 74,418.68/277.44
  6. Step 6: Final answer
    x = 268.23

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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.