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Finding the Fourth Proportional to 181.06, 249.84 and 115.54

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Solution

The fourth proportional to 181.06, 249.84 and 115.54 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.06 : 249.84 = 115.54 : x
  2. Step 2: Convert to fraction form
    181.06/249.84 = 115.54/x
  3. Step 3: Cross multiply
    181.06x = 249.84 × 115.54
  4. Step 4: Simplify right side
    181.06x = 28,866.51
  5. Step 5: Solve for x
    x = 28,866.51/181.06
  6. Step 6: Final answer
    x = 159.43

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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.