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Finding the Fourth Proportional to 167.42, 251.40 and 166.16

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Solution

The fourth proportional to 167.42, 251.40 and 166.16 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.42 : 251.40 = 166.16 : x
  2. Step 2: Convert to fraction form
    167.42/251.40 = 166.16/x
  3. Step 3: Cross multiply
    167.42x = 251.40 × 166.16
  4. Step 4: Simplify right side
    167.42x = 41,772.62
  5. Step 5: Solve for x
    x = 41,772.62/167.42
  6. Step 6: Final answer
    x = 249.51

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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.