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Finding the Fourth Proportional to 181.69, 250.62 and 107.96

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Solution

The fourth proportional to 181.69, 250.62 and 107.96 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 250.62 = 107.96 : x
  2. Step 2: Convert to fraction form
    181.69/250.62 = 107.96/x
  3. Step 3: Cross multiply
    181.69x = 250.62 × 107.96
  4. Step 4: Simplify right side
    181.69x = 27,055.28
  5. Step 5: Solve for x
    x = 27,055.28/181.69
  6. Step 6: Final answer
    x = 148.91

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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.