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Finding the Fourth Proportional to 181.71, 250.83 and 108.06

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Solution

The fourth proportional to 181.71, 250.83 and 108.06 is: 149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.71 : 250.83 = 108.06 : x
  2. Step 2: Convert to fraction form
    181.71/250.83 = 108.06/x
  3. Step 3: Cross multiply
    181.71x = 250.83 × 108.06
  4. Step 4: Simplify right side
    181.71x = 27,104.69
  5. Step 5: Solve for x
    x = 27,104.69/181.71
  6. Step 6: Final answer
    x = 149.16

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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.