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Finding the Fourth Proportional to 209.21, 288.69 and 193.73

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Solution

The fourth proportional to 209.21, 288.69 and 193.73 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.21 : 288.69 = 193.73 : x
  2. Step 2: Convert to fraction form
    209.21/288.69 = 193.73/x
  3. Step 3: Cross multiply
    209.21x = 288.69 × 193.73
  4. Step 4: Simplify right side
    209.21x = 55,927.91
  5. Step 5: Solve for x
    x = 55,927.91/209.21
  6. Step 6: Final answer
    x = 267.33

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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.