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Finding the Fourth Proportional to 217.21, 299.89 and 167.33

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Solution

The fourth proportional to 217.21, 299.89 and 167.33 is: 231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.21 : 299.89 = 167.33 : x
  2. Step 2: Convert to fraction form
    217.21/299.89 = 167.33/x
  3. Step 3: Cross multiply
    217.21x = 299.89 × 167.33
  4. Step 4: Simplify right side
    217.21x = 50,179.51
  5. Step 5: Solve for x
    x = 50,179.51/217.21
  6. Step 6: Final answer
    x = 231.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.