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Finding the Fourth Proportional to 166.81, 250.44 and 109.17

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Solution

The fourth proportional to 166.81, 250.44 and 109.17 is: 163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.81 : 250.44 = 109.17 : x
  2. Step 2: Convert to fraction form
    166.81/250.44 = 109.17/x
  3. Step 3: Cross multiply
    166.81x = 250.44 × 109.17
  4. Step 4: Simplify right side
    166.81x = 27,338.74
  5. Step 5: Solve for x
    x = 27,338.74/166.81
  6. Step 6: Final answer
    x = 163.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.