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Finding the Fourth Proportional to 205.94, 284.31 and 143.83

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Solution

The fourth proportional to 205.94, 284.31 and 143.83 is: 198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 284.31 = 143.83 : x
  2. Step 2: Convert to fraction form
    205.94/284.31 = 143.83/x
  3. Step 3: Cross multiply
    205.94x = 284.31 × 143.83
  4. Step 4: Simplify right side
    205.94x = 40,891.06
  5. Step 5: Solve for x
    x = 40,891.06/205.94
  6. Step 6: Final answer
    x = 198.56

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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.