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Finding the Fourth Proportional to 181.99, 251.13 and 112.03

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Solution

The fourth proportional to 181.99, 251.13 and 112.03 is: 154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.99 : 251.13 = 112.03 : x
  2. Step 2: Convert to fraction form
    181.99/251.13 = 112.03/x
  3. Step 3: Cross multiply
    181.99x = 251.13 × 112.03
  4. Step 4: Simplify right side
    181.99x = 28,134.09
  5. Step 5: Solve for x
    x = 28,134.09/181.99
  6. Step 6: Final answer
    x = 154.59

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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.