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Finding the Fourth Proportional to 167.68, 249.80 and 161.87

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Solution

The fourth proportional to 167.68, 249.80 and 161.87 is: 241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.68 : 249.80 = 161.87 : x
  2. Step 2: Convert to fraction form
    167.68/249.80 = 161.87/x
  3. Step 3: Cross multiply
    167.68x = 249.80 × 161.87
  4. Step 4: Simplify right side
    167.68x = 40,435.13
  5. Step 5: Solve for x
    x = 40,435.13/167.68
  6. Step 6: Final answer
    x = 241.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.