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Finding the Fourth Proportional to 204.14, 305.96 and 82.34

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Solution

The fourth proportional to 204.14, 305.96 and 82.34 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.14 : 305.96 = 82.34 : x
  2. Step 2: Convert to fraction form
    204.14/305.96 = 82.34/x
  3. Step 3: Cross multiply
    204.14x = 305.96 × 82.34
  4. Step 4: Simplify right side
    204.14x = 25,192.75
  5. Step 5: Solve for x
    x = 25,192.75/204.14
  6. Step 6: Final answer
    x = 123.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.