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Finding the Fourth Proportional to 205, 282 and 196.06

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Solution

The fourth proportional to 205, 282 and 196.06 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 282 = 196.06 : x
  2. Step 2: Convert to fraction form
    205/282 = 196.06/x
  3. Step 3: Cross multiply
    205x = 282 × 196.06
  4. Step 4: Simplify right side
    205x = 55,288.92
  5. Step 5: Solve for x
    x = 55,288.92/205
  6. Step 6: Final answer
    x = 269.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.