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Finding the Fourth Proportional to 181.67, 250.67 and 107.97

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Solution

The fourth proportional to 181.67, 250.67 and 107.97 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.67 : 250.67 = 107.97 : x
  2. Step 2: Convert to fraction form
    181.67/250.67 = 107.97/x
  3. Step 3: Cross multiply
    181.67x = 250.67 × 107.97
  4. Step 4: Simplify right side
    181.67x = 27,064.17
  5. Step 5: Solve for x
    x = 27,064.17/181.67
  6. Step 6: Final answer
    x = 148.98

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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.