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Finding the Fourth Proportional to 382.18, 573.49 and 165.75

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Solution

The fourth proportional to 382.18, 573.49 and 165.75 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 573.49 = 165.75 : x
  2. Step 2: Convert to fraction form
    382.18/573.49 = 165.75/x
  3. Step 3: Cross multiply
    382.18x = 573.49 × 165.75
  4. Step 4: Simplify right side
    382.18x = 95,055.97
  5. Step 5: Solve for x
    x = 95,055.97/382.18
  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.