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Finding the Fourth Proportional to 181.43, 271.91 and 166.85

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Solution

The fourth proportional to 181.43, 271.91 and 166.85 is: 250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.43 : 271.91 = 166.85 : x
  2. Step 2: Convert to fraction form
    181.43/271.91 = 166.85/x
  3. Step 3: Cross multiply
    181.43x = 271.91 × 166.85
  4. Step 4: Simplify right side
    181.43x = 45,366.77
  5. Step 5: Solve for x
    x = 45,366.77/181.43
  6. Step 6: Final answer
    x = 250.06

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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.