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Finding the Fourth Proportional to 205.26, 282.96 and 165.87

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Solution

The fourth proportional to 205.26, 282.96 and 165.87 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 282.96 = 165.87 : x
  2. Step 2: Convert to fraction form
    205.26/282.96 = 165.87/x
  3. Step 3: Cross multiply
    205.26x = 282.96 × 165.87
  4. Step 4: Simplify right side
    205.26x = 46,934.58
  5. Step 5: Solve for x
    x = 46,934.58/205.26
  6. Step 6: Final answer
    x = 228.66

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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.