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Finding the Fourth Proportional to 204.94, 282.81 and 111.68

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Solution

The fourth proportional to 204.94, 282.81 and 111.68 is: 154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.94 : 282.81 = 111.68 : x
  2. Step 2: Convert to fraction form
    204.94/282.81 = 111.68/x
  3. Step 3: Cross multiply
    204.94x = 282.81 × 111.68
  4. Step 4: Simplify right side
    204.94x = 31,583.66
  5. Step 5: Solve for x
    x = 31,583.66/204.94
  6. Step 6: Final answer
    x = 154.12

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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.