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Finding the Fourth Proportional to 204.22, 305.80 and 112.82

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Solution

The fourth proportional to 204.22, 305.80 and 112.82 is: 168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.22 : 305.80 = 112.82 : x
  2. Step 2: Convert to fraction form
    204.22/305.80 = 112.82/x
  3. Step 3: Cross multiply
    204.22x = 305.80 × 112.82
  4. Step 4: Simplify right side
    204.22x = 34,498.97
  5. Step 5: Solve for x
    x = 34,498.97/204.22
  6. Step 6: Final answer
    x = 168.93

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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.