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Finding the Fourth Proportional to 203.60, 281.22 and 167.21

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Solution

The fourth proportional to 203.60, 281.22 and 167.21 is: 230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.60 : 281.22 = 167.21 : x
  2. Step 2: Convert to fraction form
    203.60/281.22 = 167.21/x
  3. Step 3: Cross multiply
    203.60x = 281.22 × 167.21
  4. Step 4: Simplify right side
    203.60x = 47,022.80
  5. Step 5: Solve for x
    x = 47,022.80/203.60
  6. Step 6: Final answer
    x = 230.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.