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Finding the Fourth Proportional to 166.09, 248.73 and 112.09

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Solution

The fourth proportional to 166.09, 248.73 and 112.09 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.09 : 248.73 = 112.09 : x
  2. Step 2: Convert to fraction form
    166.09/248.73 = 112.09/x
  3. Step 3: Cross multiply
    166.09x = 248.73 × 112.09
  4. Step 4: Simplify right side
    166.09x = 27,880.15
  5. Step 5: Solve for x
    x = 27,880.15/166.09
  6. Step 6: Final answer
    x = 167.86

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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.