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Finding the Fourth Proportional to 181.38, 250.26 and 107.66

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Solution

The fourth proportional to 181.38, 250.26 and 107.66 is: 148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 250.26 = 107.66 : x
  2. Step 2: Convert to fraction form
    181.38/250.26 = 107.66/x
  3. Step 3: Cross multiply
    181.38x = 250.26 × 107.66
  4. Step 4: Simplify right side
    181.38x = 26,941.74
  5. Step 5: Solve for x
    x = 26,941.74/181.38
  6. Step 6: Final answer
    x = 148.54

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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.