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Finding the Fourth Proportional to 209.75, 289.26 and 174.83

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Solution

The fourth proportional to 209.75, 289.26 and 174.83 is: 241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 289.26 = 174.83 : x
  2. Step 2: Convert to fraction form
    209.75/289.26 = 174.83/x
  3. Step 3: Cross multiply
    209.75x = 289.26 × 174.83
  4. Step 4: Simplify right side
    209.75x = 50,569.88
  5. Step 5: Solve for x
    x = 50,569.88/209.75
  6. Step 6: Final answer
    x = 241.09

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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.