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Finding the Fourth Proportional to 181.83, 273.01 and 113.14

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Solution

The fourth proportional to 181.83, 273.01 and 113.14 is: 169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.83 : 273.01 = 113.14 : x
  2. Step 2: Convert to fraction form
    181.83/273.01 = 113.14/x
  3. Step 3: Cross multiply
    181.83x = 273.01 × 113.14
  4. Step 4: Simplify right side
    181.83x = 30,887.79
  5. Step 5: Solve for x
    x = 30,887.79/181.83
  6. Step 6: Final answer
    x = 169.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.