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Finding the Fourth Proportional to 382.42, 573.48 and 135.55

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Solution

The fourth proportional to 382.42, 573.48 and 135.55 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 573.48 = 135.55 : x
  2. Step 2: Convert to fraction form
    382.42/573.48 = 135.55/x
  3. Step 3: Cross multiply
    382.42x = 573.48 × 135.55
  4. Step 4: Simplify right side
    382.42x = 77,735.21
  5. Step 5: Solve for x
    x = 77,735.21/382.42
  6. Step 6: Final answer
    x = 203.27

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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.