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Finding the Fourth Proportional to 204.13, 281.74 and 134.40

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Solution

The fourth proportional to 204.13, 281.74 and 134.40 is: 185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.13 : 281.74 = 134.40 : x
  2. Step 2: Convert to fraction form
    204.13/281.74 = 134.40/x
  3. Step 3: Cross multiply
    204.13x = 281.74 × 134.40
  4. Step 4: Simplify right side
    204.13x = 37,865.86
  5. Step 5: Solve for x
    x = 37,865.86/204.13
  6. Step 6: Final answer
    x = 185.50

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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.