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Finding the Fourth Proportional to 181.15, 249.99 and 98.26

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Solution

The fourth proportional to 181.15, 249.99 and 98.26 is: 135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.15 : 249.99 = 98.26 : x
  2. Step 2: Convert to fraction form
    181.15/249.99 = 98.26/x
  3. Step 3: Cross multiply
    181.15x = 249.99 × 98.26
  4. Step 4: Simplify right side
    181.15x = 24,564.43
  5. Step 5: Solve for x
    x = 24,564.43/181.15
  6. Step 6: Final answer
    x = 135.60

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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.