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Finding the Fourth Proportional to 181.78, 249.22 and 178.54

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Solution

The fourth proportional to 181.78, 249.22 and 178.54 is: 244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 249.22 = 178.54 : x
  2. Step 2: Convert to fraction form
    181.78/249.22 = 178.54/x
  3. Step 3: Cross multiply
    181.78x = 249.22 × 178.54
  4. Step 4: Simplify right side
    181.78x = 44,495.74
  5. Step 5: Solve for x
    x = 44,495.74/181.78
  6. Step 6: Final answer
    x = 244.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.