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Finding the Fourth Proportional to 181.28, 271.34 and 99.92

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Solution

The fourth proportional to 181.28, 271.34 and 99.92 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 271.34 = 99.92 : x
  2. Step 2: Convert to fraction form
    181.28/271.34 = 99.92/x
  3. Step 3: Cross multiply
    181.28x = 271.34 × 99.92
  4. Step 4: Simplify right side
    181.28x = 27,112.29
  5. Step 5: Solve for x
    x = 27,112.29/181.28
  6. Step 6: Final answer
    x = 149.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.