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Finding the Fourth Proportional to 181.31, 250.09 and 137.57

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Solution

The fourth proportional to 181.31, 250.09 and 137.57 is: 189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.31 : 250.09 = 137.57 : x
  2. Step 2: Convert to fraction form
    181.31/250.09 = 137.57/x
  3. Step 3: Cross multiply
    181.31x = 250.09 × 137.57
  4. Step 4: Simplify right side
    181.31x = 34,403.29
  5. Step 5: Solve for x
    x = 34,403.29/181.31
  6. Step 6: Final answer
    x = 189.75

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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.