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Finding the Fourth Proportional to 181.33, 271.99 and 123.14

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Solution

The fourth proportional to 181.33, 271.99 and 123.14 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.33 : 271.99 = 123.14 : x
  2. Step 2: Convert to fraction form
    181.33/271.99 = 123.14/x
  3. Step 3: Cross multiply
    181.33x = 271.99 × 123.14
  4. Step 4: Simplify right side
    181.33x = 33,493.27
  5. Step 5: Solve for x
    x = 33,493.27/181.33
  6. Step 6: Final answer
    x = 184.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.