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Finding the Fourth Proportional to 181.84, 250.96 and 111.92

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Solution

The fourth proportional to 181.84, 250.96 and 111.92 is: 154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.84 : 250.96 = 111.92 : x
  2. Step 2: Convert to fraction form
    181.84/250.96 = 111.92/x
  3. Step 3: Cross multiply
    181.84x = 250.96 × 111.92
  4. Step 4: Simplify right side
    181.84x = 28,087.44
  5. Step 5: Solve for x
    x = 28,087.44/181.84
  6. Step 6: Final answer
    x = 154.46

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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.