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Finding the Fourth Proportional to 167.10, 249.54 and 166.29

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Solution

The fourth proportional to 167.10, 249.54 and 166.29 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 249.54 = 166.29 : x
  2. Step 2: Convert to fraction form
    167.10/249.54 = 166.29/x
  3. Step 3: Cross multiply
    167.10x = 249.54 × 166.29
  4. Step 4: Simplify right side
    167.10x = 41,496.01
  5. Step 5: Solve for x
    x = 41,496.01/167.10
  6. Step 6: Final answer
    x = 248.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.