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Finding the Fourth Proportional to 167.87, 250.29 and 166.19

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Solution

The fourth proportional to 167.87, 250.29 and 166.19 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.87 : 250.29 = 166.19 : x
  2. Step 2: Convert to fraction form
    167.87/250.29 = 166.19/x
  3. Step 3: Cross multiply
    167.87x = 250.29 × 166.19
  4. Step 4: Simplify right side
    167.87x = 41,594.44
  5. Step 5: Solve for x
    x = 41,594.44/167.87
  6. Step 6: Final answer
    x = 247.77

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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.