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Finding the Fourth Proportional to 209.97, 289.76 and 136.43

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Solution

The fourth proportional to 209.97, 289.76 and 136.43 is: 188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 289.76 = 136.43 : x
  2. Step 2: Convert to fraction form
    209.97/289.76 = 136.43/x
  3. Step 3: Cross multiply
    209.97x = 289.76 × 136.43
  4. Step 4: Simplify right side
    209.97x = 39,529.83
  5. Step 5: Solve for x
    x = 39,529.83/209.97
  6. Step 6: Final answer
    x = 188.26

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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.