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Finding the Fourth Proportional to 181.35, 273.02 and 167.24

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Solution

The fourth proportional to 181.35, 273.02 and 167.24 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.35 : 273.02 = 167.24 : x
  2. Step 2: Convert to fraction form
    181.35/273.02 = 167.24/x
  3. Step 3: Cross multiply
    181.35x = 273.02 × 167.24
  4. Step 4: Simplify right side
    181.35x = 45,659.71
  5. Step 5: Solve for x
    x = 45,659.71/181.35
  6. Step 6: Final answer
    x = 251.78

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Why These Related Problems?

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