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Finding the Fourth Proportional to 252.82, 380.16 and 232.78

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Solution

The fourth proportional to 252.82, 380.16 and 232.78 is: 350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.82 : 380.16 = 232.78 : x
  2. Step 2: Convert to fraction form
    252.82/380.16 = 232.78/x
  3. Step 3: Cross multiply
    252.82x = 380.16 × 232.78
  4. Step 4: Simplify right side
    252.82x = 88,493.64
  5. Step 5: Solve for x
    x = 88,493.64/252.82
  6. Step 6: Final answer
    x = 350.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.