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Finding the Fourth Proportional to 181.96, 250.90 and 119.71

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Solution

The fourth proportional to 181.96, 250.90 and 119.71 is: 165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 250.90 = 119.71 : x
  2. Step 2: Convert to fraction form
    181.96/250.90 = 119.71/x
  3. Step 3: Cross multiply
    181.96x = 250.90 × 119.71
  4. Step 4: Simplify right side
    181.96x = 30,035.24
  5. Step 5: Solve for x
    x = 30,035.24/181.96
  6. Step 6: Final answer
    x = 165.07

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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.