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Finding the Fourth Proportional to 252.20, 378.09 and 107.81

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Solution

The fourth proportional to 252.20, 378.09 and 107.81 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.20 : 378.09 = 107.81 : x
  2. Step 2: Convert to fraction form
    252.20/378.09 = 107.81/x
  3. Step 3: Cross multiply
    252.20x = 378.09 × 107.81
  4. Step 4: Simplify right side
    252.20x = 40,762.83
  5. Step 5: Solve for x
    x = 40,762.83/252.20
  6. Step 6: Final answer
    x = 161.63

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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.