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Finding the Fourth Proportional to 205.88, 286.13 and 203.72

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Solution

The fourth proportional to 205.88, 286.13 and 203.72 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 286.13 = 203.72 : x
  2. Step 2: Convert to fraction form
    205.88/286.13 = 203.72/x
  3. Step 3: Cross multiply
    205.88x = 286.13 × 203.72
  4. Step 4: Simplify right side
    205.88x = 58,290.40
  5. Step 5: Solve for x
    x = 58,290.40/205.88
  6. Step 6: Final answer
    x = 283.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.