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Finding the Fourth Proportional to 181.26, 250.06 and 107.54

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Solution

The fourth proportional to 181.26, 250.06 and 107.54 is: 148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.26 : 250.06 = 107.54 : x
  2. Step 2: Convert to fraction form
    181.26/250.06 = 107.54/x
  3. Step 3: Cross multiply
    181.26x = 250.06 × 107.54
  4. Step 4: Simplify right side
    181.26x = 26,891.27
  5. Step 5: Solve for x
    x = 26,891.27/181.26
  6. Step 6: Final answer
    x = 148.35

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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.