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Finding the Fourth Proportional to 681.64, 1,022.46 and 168.64

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Solution

The fourth proportional to 681.64, 1,022.46 and 168.64 is: 252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.64 : 1,022.46 = 168.64 : x
  2. Step 2: Convert to fraction form
    681.64/1,022.46 = 168.64/x
  3. Step 3: Cross multiply
    681.64x = 1,022.46 × 168.64
  4. Step 4: Simplify right side
    681.64x = 172,427.65
  5. Step 5: Solve for x
    x = 172,427.65/681.64
  6. Step 6: Final answer
    x = 252.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.