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Finding the Fourth Proportional to 382.25, 573.62 and 165.78

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Solution

The fourth proportional to 382.25, 573.62 and 165.78 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 573.62 = 165.78 : x
  2. Step 2: Convert to fraction form
    382.25/573.62 = 165.78/x
  3. Step 3: Cross multiply
    382.25x = 573.62 × 165.78
  4. Step 4: Simplify right side
    382.25x = 95,093.89
  5. Step 5: Solve for x
    x = 95,093.89/382.25
  6. Step 6: Final answer
    x = 248.77

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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.