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Finding the Fourth Proportional to 181.13, 249.89 and 118.99

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Solution

The fourth proportional to 181.13, 249.89 and 118.99 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.13 : 249.89 = 118.99 : x
  2. Step 2: Convert to fraction form
    181.13/249.89 = 118.99/x
  3. Step 3: Cross multiply
    181.13x = 249.89 × 118.99
  4. Step 4: Simplify right side
    181.13x = 29,734.26
  5. Step 5: Solve for x
    x = 29,734.26/181.13
  6. Step 6: Final answer
    x = 164.16

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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.