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Finding the Fourth Proportional to 167.56, 250.80 and 131.56

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Solution

The fourth proportional to 167.56, 250.80 and 131.56 is: 196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.56 : 250.80 = 131.56 : x
  2. Step 2: Convert to fraction form
    167.56/250.80 = 131.56/x
  3. Step 3: Cross multiply
    167.56x = 250.80 × 131.56
  4. Step 4: Simplify right side
    167.56x = 32,995.25
  5. Step 5: Solve for x
    x = 32,995.25/167.56
  6. Step 6: Final answer
    x = 196.92

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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.