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Finding the Fourth Proportional to 204, 305.94 and 82.24

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Solution

The fourth proportional to 204, 305.94 and 82.24 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 305.94 = 82.24 : x
  2. Step 2: Convert to fraction form
    204/305.94 = 82.24/x
  3. Step 3: Cross multiply
    204x = 305.94 × 82.24
  4. Step 4: Simplify right side
    204x = 25,160.51
  5. Step 5: Solve for x
    x = 25,160.51/204
  6. Step 6: Final answer
    x = 123.34

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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.