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Finding the Fourth Proportional to 167.94, 252 and 137.16

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Solution

The fourth proportional to 167.94, 252 and 137.16 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.94 : 252 = 137.16 : x
  2. Step 2: Convert to fraction form
    167.94/252 = 137.16/x
  3. Step 3: Cross multiply
    167.94x = 252 × 137.16
  4. Step 4: Simplify right side
    167.94x = 34,564.32
  5. Step 5: Solve for x
    x = 34,564.32/167.94
  6. Step 6: Final answer
    x = 205.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.