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Finding the Fourth Proportional to 209.83, 289.50 and 168.49

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Solution

The fourth proportional to 209.83, 289.50 and 168.49 is: 232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.83 : 289.50 = 168.49 : x
  2. Step 2: Convert to fraction form
    209.83/289.50 = 168.49/x
  3. Step 3: Cross multiply
    209.83x = 289.50 × 168.49
  4. Step 4: Simplify right side
    209.83x = 48,777.86
  5. Step 5: Solve for x
    x = 48,777.86/209.83
  6. Step 6: Final answer
    x = 232.46

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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.