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Finding the Fourth Proportional to 181.08, 249.60 and 131.88

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Solution

The fourth proportional to 181.08, 249.60 and 131.88 is: 181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.08 : 249.60 = 131.88 : x
  2. Step 2: Convert to fraction form
    181.08/249.60 = 131.88/x
  3. Step 3: Cross multiply
    181.08x = 249.60 × 131.88
  4. Step 4: Simplify right side
    181.08x = 32,917.25
  5. Step 5: Solve for x
    x = 32,917.25/181.08
  6. Step 6: Final answer
    x = 181.78

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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.