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Finding the Fourth Proportional to 204.03, 281.47 and 134.07

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Solution

The fourth proportional to 204.03, 281.47 and 134.07 is: 184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.03 : 281.47 = 134.07 : x
  2. Step 2: Convert to fraction form
    204.03/281.47 = 134.07/x
  3. Step 3: Cross multiply
    204.03x = 281.47 × 134.07
  4. Step 4: Simplify right side
    204.03x = 37,736.68
  5. Step 5: Solve for x
    x = 37,736.68/204.03
  6. Step 6: Final answer
    x = 184.96

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Why These Related Problems?

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