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Finding the Fourth Proportional to 181.08, 250.02 and 142.56

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Solution

The fourth proportional to 181.08, 250.02 and 142.56 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.08 : 250.02 = 142.56 : x
  2. Step 2: Convert to fraction form
    181.08/250.02 = 142.56/x
  3. Step 3: Cross multiply
    181.08x = 250.02 × 142.56
  4. Step 4: Simplify right side
    181.08x = 35,642.85
  5. Step 5: Solve for x
    x = 35,642.85/181.08
  6. Step 6: Final answer
    x = 196.83

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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.