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Finding the Fourth Proportional to 181.15, 250.00 and 102.48

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Solution

The fourth proportional to 181.15, 250.00 and 102.48 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.15 : 250.00 = 102.48 : x
  2. Step 2: Convert to fraction form
    181.15/250.00 = 102.48/x
  3. Step 3: Cross multiply
    181.15x = 250.00 × 102.48
  4. Step 4: Simplify right side
    181.15x = 25,620.79
  5. Step 5: Solve for x
    x = 25,620.79/181.15
  6. Step 6: Final answer
    x = 141.43

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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.