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Finding the Fourth Proportional to 203.63, 281.21 and 133.65

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Solution

The fourth proportional to 203.63, 281.21 and 133.65 is: 184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.63 : 281.21 = 133.65 : x
  2. Step 2: Convert to fraction form
    203.63/281.21 = 133.65/x
  3. Step 3: Cross multiply
    203.63x = 281.21 × 133.65
  4. Step 4: Simplify right side
    203.63x = 37,583.05
  5. Step 5: Solve for x
    x = 37,583.05/203.63
  6. Step 6: Final answer
    x = 184.57

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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.