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Finding the Fourth Proportional to 181.83, 249.84 and 173.78

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Solution

The fourth proportional to 181.83, 249.84 and 173.78 is: 238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.83 : 249.84 = 173.78 : x
  2. Step 2: Convert to fraction form
    181.83/249.84 = 173.78/x
  3. Step 3: Cross multiply
    181.83x = 249.84 × 173.78
  4. Step 4: Simplify right side
    181.83x = 43,417.20
  5. Step 5: Solve for x
    x = 43,417.20/181.83
  6. Step 6: Final answer
    x = 238.78

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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.