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Finding the Fourth Proportional to 205.29, 283.32 and 116.82

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Solution

The fourth proportional to 205.29, 283.32 and 116.82 is: 161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 283.32 = 116.82 : x
  2. Step 2: Convert to fraction form
    205.29/283.32 = 116.82/x
  3. Step 3: Cross multiply
    205.29x = 283.32 × 116.82
  4. Step 4: Simplify right side
    205.29x = 33,097.44
  5. Step 5: Solve for x
    x = 33,097.44/205.29
  6. Step 6: Final answer
    x = 161.22

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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.