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Finding the Fourth Proportional to 181.21, 249.91 and 119.02

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Solution

The fourth proportional to 181.21, 249.91 and 119.02 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.21 : 249.91 = 119.02 : x
  2. Step 2: Convert to fraction form
    181.21/249.91 = 119.02/x
  3. Step 3: Cross multiply
    181.21x = 249.91 × 119.02
  4. Step 4: Simplify right side
    181.21x = 29,743.83
  5. Step 5: Solve for x
    x = 29,743.83/181.21
  6. Step 6: Final answer
    x = 164.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.