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Finding the Fourth Proportional to 382.23, 573.35 and 165.80

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Solution

The fourth proportional to 382.23, 573.35 and 165.80 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.23 : 573.35 = 165.80 : x
  2. Step 2: Convert to fraction form
    382.23/573.35 = 165.80/x
  3. Step 3: Cross multiply
    382.23x = 573.35 × 165.80
  4. Step 4: Simplify right side
    382.23x = 95,062.03
  5. Step 5: Solve for x
    x = 95,062.03/382.23
  6. Step 6: Final answer
    x = 248.70

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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.