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Finding the Fourth Proportional to 204.26, 304.97 and 191.97

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Solution

The fourth proportional to 204.26, 304.97 and 191.97 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.26 : 304.97 = 191.97 : x
  2. Step 2: Convert to fraction form
    204.26/304.97 = 191.97/x
  3. Step 3: Cross multiply
    204.26x = 304.97 × 191.97
  4. Step 4: Simplify right side
    204.26x = 58,544.13
  5. Step 5: Solve for x
    x = 58,544.13/204.26
  6. Step 6: Final answer
    x = 286.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.