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Finding the Fourth Proportional to 181.21, 249.87 and 118.96

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Solution

The fourth proportional to 181.21, 249.87 and 118.96 is: 164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.21 : 249.87 = 118.96 : x
  2. Step 2: Convert to fraction form
    181.21/249.87 = 118.96/x
  3. Step 3: Cross multiply
    181.21x = 249.87 × 118.96
  4. Step 4: Simplify right side
    181.21x = 29,724.54
  5. Step 5: Solve for x
    x = 29,724.54/181.21
  6. Step 6: Final answer
    x = 164.03

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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.