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Finding the Fourth Proportional to 181.28, 271.22 and 162.83

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Solution

The fourth proportional to 181.28, 271.22 and 162.83 is: 243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 271.22 = 162.83 : x
  2. Step 2: Convert to fraction form
    181.28/271.22 = 162.83/x
  3. Step 3: Cross multiply
    181.28x = 271.22 × 162.83
  4. Step 4: Simplify right side
    181.28x = 44,162.62
  5. Step 5: Solve for x
    x = 44,162.62/181.28
  6. Step 6: Final answer
    x = 243.61

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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.