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Finding the Fourth Proportional to 205.90, 282.29 and 196.34

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Solution

The fourth proportional to 205.90, 282.29 and 196.34 is: 269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 282.29 = 196.34 : x
  2. Step 2: Convert to fraction form
    205.90/282.29 = 196.34/x
  3. Step 3: Cross multiply
    205.90x = 282.29 × 196.34
  4. Step 4: Simplify right side
    205.90x = 55,422.43
  5. Step 5: Solve for x
    x = 55,422.43/205.90
  6. Step 6: Final answer
    x = 269.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.