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Finding the Fourth Proportional to 181.14, 249.99 and 103.50

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Solution

The fourth proportional to 181.14, 249.99 and 103.50 is: 142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.14 : 249.99 = 103.50 : x
  2. Step 2: Convert to fraction form
    181.14/249.99 = 103.50/x
  3. Step 3: Cross multiply
    181.14x = 249.99 × 103.50
  4. Step 4: Simplify right side
    181.14x = 25,873.97
  5. Step 5: Solve for x
    x = 25,873.97/181.14
  6. Step 6: Final answer
    x = 142.84

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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.