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Finding the Fourth Proportional to 382.30, 573.56 and 165.82

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Solution

The fourth proportional to 382.30, 573.56 and 165.82 is: 248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.30 : 573.56 = 165.82 : x
  2. Step 2: Convert to fraction form
    382.30/573.56 = 165.82/x
  3. Step 3: Cross multiply
    382.30x = 573.56 × 165.82
  4. Step 4: Simplify right side
    382.30x = 95,107.72
  5. Step 5: Solve for x
    x = 95,107.72/382.30
  6. Step 6: Final answer
    x = 248.78

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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.