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Finding the Fourth Proportional to 181.25, 250.09 and 107.56

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Solution

The fourth proportional to 181.25, 250.09 and 107.56 is: 148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.25 : 250.09 = 107.56 : x
  2. Step 2: Convert to fraction form
    181.25/250.09 = 107.56/x
  3. Step 3: Cross multiply
    181.25x = 250.09 × 107.56
  4. Step 4: Simplify right side
    181.25x = 26,899.14
  5. Step 5: Solve for x
    x = 26,899.14/181.25
  6. Step 6: Final answer
    x = 148.41

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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.