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Finding the Fourth Proportional to 209.82, 289.40 and 139.84

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Solution

The fourth proportional to 209.82, 289.40 and 139.84 is: 192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 289.40 = 139.84 : x
  2. Step 2: Convert to fraction form
    209.82/289.40 = 139.84/x
  3. Step 3: Cross multiply
    209.82x = 289.40 × 139.84
  4. Step 4: Simplify right side
    209.82x = 40,469.07
  5. Step 5: Solve for x
    x = 40,469.07/209.82
  6. Step 6: Final answer
    x = 192.88

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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.