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Finding the Fourth Proportional to 205.06, 282.92 and 116.54

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Solution

The fourth proportional to 205.06, 282.92 and 116.54 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.06 : 282.92 = 116.54 : x
  2. Step 2: Convert to fraction form
    205.06/282.92 = 116.54/x
  3. Step 3: Cross multiply
    205.06x = 282.92 × 116.54
  4. Step 4: Simplify right side
    205.06x = 32,969.50
  5. Step 5: Solve for x
    x = 32,969.50/205.06
  6. Step 6: Final answer
    x = 160.78

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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.