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Finding the Fourth Proportional to 181.65, 250.75 and 107.97

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Solution

The fourth proportional to 181.65, 250.75 and 107.97 is: 149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.65 : 250.75 = 107.97 : x
  2. Step 2: Convert to fraction form
    181.65/250.75 = 107.97/x
  3. Step 3: Cross multiply
    181.65x = 250.75 × 107.97
  4. Step 4: Simplify right side
    181.65x = 27,074.55
  5. Step 5: Solve for x
    x = 27,074.55/181.65
  6. Step 6: Final answer
    x = 149.05

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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.