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Finding the Fourth Proportional to 166.56, 249.89 and 105.67

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Solution

The fourth proportional to 166.56, 249.89 and 105.67 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 249.89 = 105.67 : x
  2. Step 2: Convert to fraction form
    166.56/249.89 = 105.67/x
  3. Step 3: Cross multiply
    166.56x = 249.89 × 105.67
  4. Step 4: Simplify right side
    166.56x = 26,405.66
  5. Step 5: Solve for x
    x = 26,405.66/166.56
  6. Step 6: Final answer
    x = 158.54

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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.