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Finding the Fourth Proportional to 209.86, 289.73 and 163.13

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Solution

The fourth proportional to 209.86, 289.73 and 163.13 is: 225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.86 : 289.73 = 163.13 : x
  2. Step 2: Convert to fraction form
    209.86/289.73 = 163.13/x
  3. Step 3: Cross multiply
    209.86x = 289.73 × 163.13
  4. Step 4: Simplify right side
    209.86x = 47,262.61
  5. Step 5: Solve for x
    x = 47,262.61/209.86
  6. Step 6: Final answer
    x = 225.21

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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.