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Finding the Fourth Proportional to 166.89, 249.69 and 105.72

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Solution

The fourth proportional to 166.89, 249.69 and 105.72 is: 158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.89 : 249.69 = 105.72 : x
  2. Step 2: Convert to fraction form
    166.89/249.69 = 105.72/x
  3. Step 3: Cross multiply
    166.89x = 249.69 × 105.72
  4. Step 4: Simplify right side
    166.89x = 26,397.23
  5. Step 5: Solve for x
    x = 26,397.23/166.89
  6. Step 6: Final answer
    x = 158.17

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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.