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Finding the Fourth Proportional to 367.51, 550.97 and 213.25

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Solution

The fourth proportional to 367.51, 550.97 and 213.25 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.51 : 550.97 = 213.25 : x
  2. Step 2: Convert to fraction form
    367.51/550.97 = 213.25/x
  3. Step 3: Cross multiply
    367.51x = 550.97 × 213.25
  4. Step 4: Simplify right side
    367.51x = 117,494.35
  5. Step 5: Solve for x
    x = 117,494.35/367.51
  6. Step 6: Final answer
    x = 319.70

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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.