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Finding the Fourth Proportional to 167.44, 230.81 and 144

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Solution

The fourth proportional to 167.44, 230.81 and 144 is: 198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.44 : 230.81 = 144 : x
  2. Step 2: Convert to fraction form
    167.44/230.81 = 144/x
  3. Step 3: Cross multiply
    167.44x = 230.81 × 144
  4. Step 4: Simplify right side
    167.44x = 33,236.46
  5. Step 5: Solve for x
    x = 33,236.46/167.44
  6. Step 6: Final answer
    x = 198.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.