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Finding the Fourth Proportional to 181.83, 250.84 and 108.11

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Solution

The fourth proportional to 181.83, 250.84 and 108.11 is: 149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.83 : 250.84 = 108.11 : x
  2. Step 2: Convert to fraction form
    181.83/250.84 = 108.11/x
  3. Step 3: Cross multiply
    181.83x = 250.84 × 108.11
  4. Step 4: Simplify right side
    181.83x = 27,116.79
  5. Step 5: Solve for x
    x = 27,116.79/181.83
  6. Step 6: Final answer
    x = 149.13

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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.