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Finding the Fourth Proportional to 217.13, 299.78 and 167.24

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Solution

The fourth proportional to 217.13, 299.78 and 167.24 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 299.78 = 167.24 : x
  2. Step 2: Convert to fraction form
    217.13/299.78 = 167.24/x
  3. Step 3: Cross multiply
    217.13x = 299.78 × 167.24
  4. Step 4: Simplify right side
    217.13x = 50,135.21
  5. Step 5: Solve for x
    x = 50,135.21/217.13
  6. Step 6: Final answer
    x = 230.90

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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.