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Finding the Fourth Proportional to 181.83, 250.91 and 108.14

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Solution

The fourth proportional to 181.83, 250.91 and 108.14 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.83 : 250.91 = 108.14 : x
  2. Step 2: Convert to fraction form
    181.83/250.91 = 108.14/x
  3. Step 3: Cross multiply
    181.83x = 250.91 × 108.14
  4. Step 4: Simplify right side
    181.83x = 27,131.61
  5. Step 5: Solve for x
    x = 27,131.61/181.83
  6. Step 6: Final answer
    x = 149.21

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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.