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Finding the Fourth Proportional to 167.84, 233.07 and 166.24

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Solution

The fourth proportional to 167.84, 233.07 and 166.24 is: 230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 233.07 = 166.24 : x
  2. Step 2: Convert to fraction form
    167.84/233.07 = 166.24/x
  3. Step 3: Cross multiply
    167.84x = 233.07 × 166.24
  4. Step 4: Simplify right side
    167.84x = 38,745.56
  5. Step 5: Solve for x
    x = 38,745.56/167.84
  6. Step 6: Final answer
    x = 230.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.