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Finding the Fourth Proportional to 181.18, 249.78 and 164.80

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Solution

The fourth proportional to 181.18, 249.78 and 164.80 is: 227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.18 : 249.78 = 164.80 : x
  2. Step 2: Convert to fraction form
    181.18/249.78 = 164.80/x
  3. Step 3: Cross multiply
    181.18x = 249.78 × 164.80
  4. Step 4: Simplify right side
    181.18x = 41,163.74
  5. Step 5: Solve for x
    x = 41,163.74/181.18
  6. Step 6: Final answer
    x = 227.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.