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Finding the Fourth Proportional to 205.12, 283.07 and 117.82

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Solution

The fourth proportional to 205.12, 283.07 and 117.82 is: 162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.12 : 283.07 = 117.82 : x
  2. Step 2: Convert to fraction form
    205.12/283.07 = 117.82/x
  3. Step 3: Cross multiply
    205.12x = 283.07 × 117.82
  4. Step 4: Simplify right side
    205.12x = 33,351.31
  5. Step 5: Solve for x
    x = 33,351.31/205.12
  6. Step 6: Final answer
    x = 162.59

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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.