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Finding the Fourth Proportional to 367.61, 550.55 and 213.21

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Solution

The fourth proportional to 367.61, 550.55 and 213.21 is: 319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.61 : 550.55 = 213.21 : x
  2. Step 2: Convert to fraction form
    367.61/550.55 = 213.21/x
  3. Step 3: Cross multiply
    367.61x = 550.55 × 213.21
  4. Step 4: Simplify right side
    367.61x = 117,382.77
  5. Step 5: Solve for x
    x = 117,382.77/367.61
  6. Step 6: Final answer
    x = 319.31

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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.