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Finding the Fourth Proportional to 277.27, 382.01 and 194.24

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Solution

The fourth proportional to 277.27, 382.01 and 194.24 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.27 : 382.01 = 194.24 : x
  2. Step 2: Convert to fraction form
    277.27/382.01 = 194.24/x
  3. Step 3: Cross multiply
    277.27x = 382.01 × 194.24
  4. Step 4: Simplify right side
    277.27x = 74,201.61
  5. Step 5: Solve for x
    x = 74,201.61/277.27
  6. Step 6: Final answer
    x = 267.62

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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.