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Finding the Fourth Proportional to 167.67, 229.84 and 164.84

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Solution

The fourth proportional to 167.67, 229.84 and 164.84 is: 225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.67 : 229.84 = 164.84 : x
  2. Step 2: Convert to fraction form
    167.67/229.84 = 164.84/x
  3. Step 3: Cross multiply
    167.67x = 229.84 × 164.84
  4. Step 4: Simplify right side
    167.67x = 37,885.26
  5. Step 5: Solve for x
    x = 37,885.26/167.67
  6. Step 6: Final answer
    x = 225.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.