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Finding the Fourth Proportional to 367.07, 550.69 and 161.65

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Solution

The fourth proportional to 367.07, 550.69 and 161.65 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.07 : 550.69 = 161.65 : x
  2. Step 2: Convert to fraction form
    367.07/550.69 = 161.65/x
  3. Step 3: Cross multiply
    367.07x = 550.69 × 161.65
  4. Step 4: Simplify right side
    367.07x = 89,020.01
  5. Step 5: Solve for x
    x = 89,020.01/367.07
  6. Step 6: Final answer
    x = 242.52

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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.