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Finding the Fourth Proportional to 209.34, 289.71 and 205.74

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Solution

The fourth proportional to 209.34, 289.71 and 205.74 is: 284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 289.71 = 205.74 : x
  2. Step 2: Convert to fraction form
    209.34/289.71 = 205.74/x
  3. Step 3: Cross multiply
    209.34x = 289.71 × 205.74
  4. Step 4: Simplify right side
    209.34x = 59,604.94
  5. Step 5: Solve for x
    x = 59,604.94/209.34
  6. Step 6: Final answer
    x = 284.73

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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.