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Finding the Fourth Proportional to 205.31, 283.49 and 182.02

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Solution

The fourth proportional to 205.31, 283.49 and 182.02 is: 251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 283.49 = 182.02 : x
  2. Step 2: Convert to fraction form
    205.31/283.49 = 182.02/x
  3. Step 3: Cross multiply
    205.31x = 283.49 × 182.02
  4. Step 4: Simplify right side
    205.31x = 51,600.85
  5. Step 5: Solve for x
    x = 51,600.85/205.31
  6. Step 6: Final answer
    x = 251.33

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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.