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Finding the Fourth Proportional to 204.92, 282.21 and 180.35

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Solution

The fourth proportional to 204.92, 282.21 and 180.35 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 282.21 = 180.35 : x
  2. Step 2: Convert to fraction form
    204.92/282.21 = 180.35/x
  3. Step 3: Cross multiply
    204.92x = 282.21 × 180.35
  4. Step 4: Simplify right side
    204.92x = 50,896.57
  5. Step 5: Solve for x
    x = 50,896.57/204.92
  6. Step 6: Final answer
    x = 248.37

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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.