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Finding the Fourth Proportional to 209.72, 289.77 and 166.39

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Solution

The fourth proportional to 209.72, 289.77 and 166.39 is: 229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 289.77 = 166.39 : x
  2. Step 2: Convert to fraction form
    209.72/289.77 = 166.39/x
  3. Step 3: Cross multiply
    209.72x = 289.77 × 166.39
  4. Step 4: Simplify right side
    209.72x = 48,214.83
  5. Step 5: Solve for x
    x = 48,214.83/209.72
  6. Step 6: Final answer
    x = 229.90

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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.