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Finding the Fourth Proportional to 323.82, 485.72 and 107.42

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Solution

The fourth proportional to 323.82, 485.72 and 107.42 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 485.72 = 107.42 : x
  2. Step 2: Convert to fraction form
    323.82/485.72 = 107.42/x
  3. Step 3: Cross multiply
    323.82x = 485.72 × 107.42
  4. Step 4: Simplify right side
    323.82x = 52,173.08
  5. Step 5: Solve for x
    x = 52,173.08/323.82
  6. Step 6: Final answer
    x = 161.12

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Why These Related Problems?

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