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Finding the Fourth Proportional to 205.62, 283.71 and 118.26

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Solution

The fourth proportional to 205.62, 283.71 and 118.26 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.62 : 283.71 = 118.26 : x
  2. Step 2: Convert to fraction form
    205.62/283.71 = 118.26/x
  3. Step 3: Cross multiply
    205.62x = 283.71 × 118.26
  4. Step 4: Simplify right side
    205.62x = 33,551.54
  5. Step 5: Solve for x
    x = 33,551.54/205.62
  6. Step 6: Final answer
    x = 163.17

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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.