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Finding the Fourth Proportional to 209.30, 289.06 and 163.22

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Solution

The fourth proportional to 209.30, 289.06 and 163.22 is: 225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.30 : 289.06 = 163.22 : x
  2. Step 2: Convert to fraction form
    209.30/289.06 = 163.22/x
  3. Step 3: Cross multiply
    209.30x = 289.06 × 163.22
  4. Step 4: Simplify right side
    209.30x = 47,180.37
  5. Step 5: Solve for x
    x = 47,180.37/209.30
  6. Step 6: Final answer
    x = 225.42

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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.