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Finding the Fourth Proportional to 209.88, 289.71 and 190.44

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Solution

The fourth proportional to 209.88, 289.71 and 190.44 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 289.71 = 190.44 : x
  2. Step 2: Convert to fraction form
    209.88/289.71 = 190.44/x
  3. Step 3: Cross multiply
    209.88x = 289.71 × 190.44
  4. Step 4: Simplify right side
    209.88x = 55,172.37
  5. Step 5: Solve for x
    x = 55,172.37/209.88
  6. Step 6: Final answer
    x = 262.88

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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.