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Finding the Fourth Proportional to 181.90, 272.23 and 109.81

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Solution

The fourth proportional to 181.90, 272.23 and 109.81 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.90 : 272.23 = 109.81 : x
  2. Step 2: Convert to fraction form
    181.90/272.23 = 109.81/x
  3. Step 3: Cross multiply
    181.90x = 272.23 × 109.81
  4. Step 4: Simplify right side
    181.90x = 29,892.22
  5. Step 5: Solve for x
    x = 29,892.22/181.90
  6. Step 6: Final answer
    x = 164.34

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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.