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Finding the Fourth Proportional to 181.26, 273.57 and 181.26

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Solution

The fourth proportional to 181.26, 273.57 and 181.26 is: 273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.26 : 273.57 = 181.26 : x
  2. Step 2: Convert to fraction form
    181.26/273.57 = 181.26/x
  3. Step 3: Cross multiply
    181.26x = 273.57 × 181.26
  4. Step 4: Simplify right side
    181.26x = 49,587.30
  5. Step 5: Solve for x
    x = 49,587.30/181.26
  6. Step 6: Final answer
    x = 273.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.