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Finding the Fourth Proportional to 209.63, 289.07 and 165.29

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Solution

The fourth proportional to 209.63, 289.07 and 165.29 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 289.07 = 165.29 : x
  2. Step 2: Convert to fraction form
    209.63/289.07 = 165.29/x
  3. Step 3: Cross multiply
    209.63x = 289.07 × 165.29
  4. Step 4: Simplify right side
    209.63x = 47,778.11
  5. Step 5: Solve for x
    x = 47,778.11/209.63
  6. Step 6: Final answer
    x = 227.92

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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.