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Finding the Fourth Proportional to 382.20, 573.51 and 165.75

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Solution

The fourth proportional to 382.20, 573.51 and 165.75 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 573.51 = 165.75 : x
  2. Step 2: Convert to fraction form
    382.20/573.51 = 165.75/x
  3. Step 3: Cross multiply
    382.20x = 573.51 × 165.75
  4. Step 4: Simplify right side
    382.20x = 95,059.28
  5. Step 5: Solve for x
    x = 95,059.28/382.20
  6. Step 6: Final answer
    x = 248.72

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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.