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Finding the Fourth Proportional to 181.85, 250.89 and 142.66

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Solution

The fourth proportional to 181.85, 250.89 and 142.66 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.85 : 250.89 = 142.66 : x
  2. Step 2: Convert to fraction form
    181.85/250.89 = 142.66/x
  3. Step 3: Cross multiply
    181.85x = 250.89 × 142.66
  4. Step 4: Simplify right side
    181.85x = 35,791.25
  5. Step 5: Solve for x
    x = 35,791.25/181.85
  6. Step 6: Final answer
    x = 196.82

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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.