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Finding the Fourth Proportional to 203.78, 281.13 and 133.81

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Solution

The fourth proportional to 203.78, 281.13 and 133.81 is: 184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.78 : 281.13 = 133.81 : x
  2. Step 2: Convert to fraction form
    203.78/281.13 = 133.81/x
  3. Step 3: Cross multiply
    203.78x = 281.13 × 133.81
  4. Step 4: Simplify right side
    203.78x = 37,618.01
  5. Step 5: Solve for x
    x = 37,618.01/203.78
  6. Step 6: Final answer
    x = 184.60

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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.