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Finding the Fourth Proportional to 181.98, 249.72 and 165.48

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Solution

The fourth proportional to 181.98, 249.72 and 165.48 is: 227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 249.72 = 165.48 : x
  2. Step 2: Convert to fraction form
    181.98/249.72 = 165.48/x
  3. Step 3: Cross multiply
    181.98x = 249.72 × 165.48
  4. Step 4: Simplify right side
    181.98x = 41,323.67
  5. Step 5: Solve for x
    x = 41,323.67/181.98
  6. Step 6: Final answer
    x = 227.08

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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.