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Finding the Fourth Proportional to 181.22, 249.90 and 119.04

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Solution

The fourth proportional to 181.22, 249.90 and 119.04 is: 164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.22 : 249.90 = 119.04 : x
  2. Step 2: Convert to fraction form
    181.22/249.90 = 119.04/x
  3. Step 3: Cross multiply
    181.22x = 249.90 × 119.04
  4. Step 4: Simplify right side
    181.22x = 29,748.10
  5. Step 5: Solve for x
    x = 29,748.10/181.22
  6. Step 6: Final answer
    x = 164.15

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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.