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Finding the Fourth Proportional to 181.17, 249.91 and 107.44

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Solution

The fourth proportional to 181.17, 249.91 and 107.44 is: 148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.17 : 249.91 = 107.44 : x
  2. Step 2: Convert to fraction form
    181.17/249.91 = 107.44/x
  3. Step 3: Cross multiply
    181.17x = 249.91 × 107.44
  4. Step 4: Simplify right side
    181.17x = 26,849.44
  5. Step 5: Solve for x
    x = 26,849.44/181.17
  6. Step 6: Final answer
    x = 148.20

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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.