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Finding the Fourth Proportional to 367.10, 550.74 and 150.74

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Solution

The fourth proportional to 367.10, 550.74 and 150.74 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.10 : 550.74 = 150.74 : x
  2. Step 2: Convert to fraction form
    367.10/550.74 = 150.74/x
  3. Step 3: Cross multiply
    367.10x = 550.74 × 150.74
  4. Step 4: Simplify right side
    367.10x = 83,015.04
  5. Step 5: Solve for x
    x = 83,015.04/367.10
  6. Step 6: Final answer
    x = 226.14

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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.