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Finding the Fourth Proportional to 382.60, 573.26 and 189.80

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Solution

The fourth proportional to 382.60, 573.26 and 189.80 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.60 : 573.26 = 189.80 : x
  2. Step 2: Convert to fraction form
    382.60/573.26 = 189.80/x
  3. Step 3: Cross multiply
    382.60x = 573.26 × 189.80
  4. Step 4: Simplify right side
    382.60x = 108,804.75
  5. Step 5: Solve for x
    x = 108,804.75/382.60
  6. Step 6: Final answer
    x = 284.38

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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.