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Finding the Fourth Proportional to 181.00, 249.60 and 121.98

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Solution

The fourth proportional to 181.00, 249.60 and 121.98 is: 168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.00 : 249.60 = 121.98 : x
  2. Step 2: Convert to fraction form
    181.00/249.60 = 121.98/x
  3. Step 3: Cross multiply
    181.00x = 249.60 × 121.98
  4. Step 4: Simplify right side
    181.00x = 30,446.21
  5. Step 5: Solve for x
    x = 30,446.21/181.00
  6. Step 6: Final answer
    x = 168.21

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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.