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Finding the Fourth Proportional to 205.09, 283.06 and 117.82

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Solution

The fourth proportional to 205.09, 283.06 and 117.82 is: 162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 283.06 = 117.82 : x
  2. Step 2: Convert to fraction form
    205.09/283.06 = 117.82/x
  3. Step 3: Cross multiply
    205.09x = 283.06 × 117.82
  4. Step 4: Simplify right side
    205.09x = 33,348.71
  5. Step 5: Solve for x
    x = 33,348.71/205.09
  6. Step 6: Final answer
    x = 162.61

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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.