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Finding the Fourth Proportional to 181.29, 270.78 and 161.99

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Solution

The fourth proportional to 181.29, 270.78 and 161.99 is: 241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.29 : 270.78 = 161.99 : x
  2. Step 2: Convert to fraction form
    181.29/270.78 = 161.99/x
  3. Step 3: Cross multiply
    181.29x = 270.78 × 161.99
  4. Step 4: Simplify right side
    181.29x = 43,862.30
  5. Step 5: Solve for x
    x = 43,862.30/181.29
  6. Step 6: Final answer
    x = 241.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.