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Finding the Fourth Proportional to 167.72, 231.15 and 126.26

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Solution

The fourth proportional to 167.72, 231.15 and 126.26 is: 174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.72 : 231.15 = 126.26 : x
  2. Step 2: Convert to fraction form
    167.72/231.15 = 126.26/x
  3. Step 3: Cross multiply
    167.72x = 231.15 × 126.26
  4. Step 4: Simplify right side
    167.72x = 29,185.18
  5. Step 5: Solve for x
    x = 29,185.18/167.72
  6. Step 6: Final answer
    x = 174.01

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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.