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Finding the Fourth Proportional to 286.44, 395.22 and 168.40

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Solution

The fourth proportional to 286.44, 395.22 and 168.40 is: 232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.44 : 395.22 = 168.40 : x
  2. Step 2: Convert to fraction form
    286.44/395.22 = 168.40/x
  3. Step 3: Cross multiply
    286.44x = 395.22 × 168.40
  4. Step 4: Simplify right side
    286.44x = 66,555.05
  5. Step 5: Solve for x
    x = 66,555.05/286.44
  6. Step 6: Final answer
    x = 232.35

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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.