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Finding the Fourth Proportional to 181.45, 272.22 and 109.78

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Solution

The fourth proportional to 181.45, 272.22 and 109.78 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.45 : 272.22 = 109.78 : x
  2. Step 2: Convert to fraction form
    181.45/272.22 = 109.78/x
  3. Step 3: Cross multiply
    181.45x = 272.22 × 109.78
  4. Step 4: Simplify right side
    181.45x = 29,884.31
  5. Step 5: Solve for x
    x = 29,884.31/181.45
  6. Step 6: Final answer
    x = 164.70

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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.