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Finding the Fourth Proportional to 181.97, 251.16 and 145.42

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Solution

The fourth proportional to 181.97, 251.16 and 145.42 is: 200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.97 : 251.16 = 145.42 : x
  2. Step 2: Convert to fraction form
    181.97/251.16 = 145.42/x
  3. Step 3: Cross multiply
    181.97x = 251.16 × 145.42
  4. Step 4: Simplify right side
    181.97x = 36,523.69
  5. Step 5: Solve for x
    x = 36,523.69/181.97
  6. Step 6: Final answer
    x = 200.71

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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.