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Finding the Fourth Proportional to 209.96, 289.11 and 205.17

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Solution

The fourth proportional to 209.96, 289.11 and 205.17 is: 282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 289.11 = 205.17 : x
  2. Step 2: Convert to fraction form
    209.96/289.11 = 205.17/x
  3. Step 3: Cross multiply
    209.96x = 289.11 × 205.17
  4. Step 4: Simplify right side
    209.96x = 59,316.70
  5. Step 5: Solve for x
    x = 59,316.70/209.96
  6. Step 6: Final answer
    x = 282.52

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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.