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Finding the Fourth Proportional to 181.98, 251.22 and 132.78

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Solution

The fourth proportional to 181.98, 251.22 and 132.78 is: 183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 251.22 = 132.78 : x
  2. Step 2: Convert to fraction form
    181.98/251.22 = 132.78/x
  3. Step 3: Cross multiply
    181.98x = 251.22 × 132.78
  4. Step 4: Simplify right side
    181.98x = 33,356.99
  5. Step 5: Solve for x
    x = 33,356.99/181.98
  6. Step 6: Final answer
    x = 183.30

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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.