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Finding the Fourth Proportional to 206.29, 282.21 and 205.48

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Solution

The fourth proportional to 206.29, 282.21 and 205.48 is: 281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.29 : 282.21 = 205.48 : x
  2. Step 2: Convert to fraction form
    206.29/282.21 = 205.48/x
  3. Step 3: Cross multiply
    206.29x = 282.21 × 205.48
  4. Step 4: Simplify right side
    206.29x = 57,988.51
  5. Step 5: Solve for x
    x = 57,988.51/206.29
  6. Step 6: Final answer
    x = 281.10

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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.