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Finding the Fourth Proportional to 181.40, 250.31 and 102.73

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Solution

The fourth proportional to 181.40, 250.31 and 102.73 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 250.31 = 102.73 : x
  2. Step 2: Convert to fraction form
    181.40/250.31 = 102.73/x
  3. Step 3: Cross multiply
    181.40x = 250.31 × 102.73
  4. Step 4: Simplify right side
    181.40x = 25,713.66
  5. Step 5: Solve for x
    x = 25,713.66/181.40
  6. Step 6: Final answer
    x = 141.75

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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.