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Finding the Fourth Proportional to 181.46, 250.22 and 161.80

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Solution

The fourth proportional to 181.46, 250.22 and 161.80 is: 223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.46 : 250.22 = 161.80 : x
  2. Step 2: Convert to fraction form
    181.46/250.22 = 161.80/x
  3. Step 3: Cross multiply
    181.46x = 250.22 × 161.80
  4. Step 4: Simplify right side
    181.46x = 40,485.60
  5. Step 5: Solve for x
    x = 40,485.60/181.46
  6. Step 6: Final answer
    x = 223.11

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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.