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Finding the Fourth Proportional to 204.57, 282.24 and 117.23

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Solution

The fourth proportional to 204.57, 282.24 and 117.23 is: 161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.57 : 282.24 = 117.23 : x
  2. Step 2: Convert to fraction form
    204.57/282.24 = 117.23/x
  3. Step 3: Cross multiply
    204.57x = 282.24 × 117.23
  4. Step 4: Simplify right side
    204.57x = 33,085.58
  5. Step 5: Solve for x
    x = 33,085.58/204.57
  6. Step 6: Final answer
    x = 161.73

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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.