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Finding the Fourth Proportional to 181.69, 250.82 and 119.62

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Solution

The fourth proportional to 181.69, 250.82 and 119.62 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 250.82 = 119.62 : x
  2. Step 2: Convert to fraction form
    181.69/250.82 = 119.62/x
  3. Step 3: Cross multiply
    181.69x = 250.82 × 119.62
  4. Step 4: Simplify right side
    181.69x = 30,003.09
  5. Step 5: Solve for x
    x = 30,003.09/181.69
  6. Step 6: Final answer
    x = 165.13

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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.