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Finding the Fourth Proportional to 181.90, 250.29 and 164.43

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Solution

The fourth proportional to 181.90, 250.29 and 164.43 is: 226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.90 : 250.29 = 164.43 : x
  2. Step 2: Convert to fraction form
    181.90/250.29 = 164.43/x
  3. Step 3: Cross multiply
    181.90x = 250.29 × 164.43
  4. Step 4: Simplify right side
    181.90x = 41,155.18
  5. Step 5: Solve for x
    x = 41,155.18/181.90
  6. Step 6: Final answer
    x = 226.26

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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.