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Finding the Fourth Proportional to 205.30, 283.26 and 117.97

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Solution

The fourth proportional to 205.30, 283.26 and 117.97 is: 162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 283.26 = 117.97 : x
  2. Step 2: Convert to fraction form
    205.30/283.26 = 117.97/x
  3. Step 3: Cross multiply
    205.30x = 283.26 × 117.97
  4. Step 4: Simplify right side
    205.30x = 33,416.18
  5. Step 5: Solve for x
    x = 33,416.18/205.30
  6. Step 6: Final answer
    x = 162.77

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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.