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Finding the Fourth Proportional to 209.88, 289.46 and 204.88

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Solution

The fourth proportional to 209.88, 289.46 and 204.88 is: 282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 289.46 = 204.88 : x
  2. Step 2: Convert to fraction form
    209.88/289.46 = 204.88/x
  3. Step 3: Cross multiply
    209.88x = 289.46 × 204.88
  4. Step 4: Simplify right side
    209.88x = 59,304.56
  5. Step 5: Solve for x
    x = 59,304.56/209.88
  6. Step 6: Final answer
    x = 282.56

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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.