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Finding the Fourth Proportional to 382.56, 573.56 and 135.68

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Solution

The fourth proportional to 382.56, 573.56 and 135.68 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 573.56 = 135.68 : x
  2. Step 2: Convert to fraction form
    382.56/573.56 = 135.68/x
  3. Step 3: Cross multiply
    382.56x = 573.56 × 135.68
  4. Step 4: Simplify right side
    382.56x = 77,820.62
  5. Step 5: Solve for x
    x = 77,820.62/382.56
  6. Step 6: Final answer
    x = 203.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.