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Finding the Fourth Proportional to 166.11, 248.94 and 108.24

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Solution

The fourth proportional to 166.11, 248.94 and 108.24 is: 162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.11 : 248.94 = 108.24 : x
  2. Step 2: Convert to fraction form
    166.11/248.94 = 108.24/x
  3. Step 3: Cross multiply
    166.11x = 248.94 × 108.24
  4. Step 4: Simplify right side
    166.11x = 26,945.27
  5. Step 5: Solve for x
    x = 26,945.27/166.11
  6. Step 6: Final answer
    x = 162.21

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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.