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Finding the Fourth Proportional to 367.25, 550.80 and 107.19

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Solution

The fourth proportional to 367.25, 550.80 and 107.19 is: 160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.25 : 550.80 = 107.19 : x
  2. Step 2: Convert to fraction form
    367.25/550.80 = 107.19/x
  3. Step 3: Cross multiply
    367.25x = 550.80 × 107.19
  4. Step 4: Simplify right side
    367.25x = 59,040.25
  5. Step 5: Solve for x
    x = 59,040.25/367.25
  6. Step 6: Final answer
    x = 160.76

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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.