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Finding the Fourth Proportional to 252.20, 377.96 and 107.75

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Solution

The fourth proportional to 252.20, 377.96 and 107.75 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.20 : 377.96 = 107.75 : x
  2. Step 2: Convert to fraction form
    252.20/377.96 = 107.75/x
  3. Step 3: Cross multiply
    252.20x = 377.96 × 107.75
  4. Step 4: Simplify right side
    252.20x = 40,725.19
  5. Step 5: Solve for x
    x = 40,725.19/252.20
  6. Step 6: Final answer
    x = 161.48

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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.