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Finding the Fourth Proportional to 323.57, 485.23 and 107.09

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Solution

The fourth proportional to 323.57, 485.23 and 107.09 is: 160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.57 : 485.23 = 107.09 : x
  2. Step 2: Convert to fraction form
    323.57/485.23 = 107.09/x
  3. Step 3: Cross multiply
    323.57x = 485.23 × 107.09
  4. Step 4: Simplify right side
    323.57x = 51,963.28
  5. Step 5: Solve for x
    x = 51,963.28/323.57
  6. Step 6: Final answer
    x = 160.59

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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.