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Finding the Fourth Proportional to 181, 249.84 and 112

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Solution

The fourth proportional to 181, 249.84 and 112 is: 154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181 : 249.84 = 112 : x
  2. Step 2: Convert to fraction form
    181/249.84 = 112/x
  3. Step 3: Cross multiply
    181x = 249.84 × 112
  4. Step 4: Simplify right side
    181x = 27,982.08
  5. Step 5: Solve for x
    x = 27,982.08/181
  6. Step 6: Final answer
    x = 154.60

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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.