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Finding the Fourth Proportional to 167.31, 248.67 and 162.77

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Solution

The fourth proportional to 167.31, 248.67 and 162.77 is: 241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.31 : 248.67 = 162.77 : x
  2. Step 2: Convert to fraction form
    167.31/248.67 = 162.77/x
  3. Step 3: Cross multiply
    167.31x = 248.67 × 162.77
  4. Step 4: Simplify right side
    167.31x = 40,474.77
  5. Step 5: Solve for x
    x = 40,474.77/167.31
  6. Step 6: Final answer
    x = 241.91

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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.