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Finding the Fourth Proportional to 209.77, 289.42 and 165.97

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Solution

The fourth proportional to 209.77, 289.42 and 165.97 is: 228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.77 : 289.42 = 165.97 : x
  2. Step 2: Convert to fraction form
    209.77/289.42 = 165.97/x
  3. Step 3: Cross multiply
    209.77x = 289.42 × 165.97
  4. Step 4: Simplify right side
    209.77x = 48,035.04
  5. Step 5: Solve for x
    x = 48,035.04/209.77
  6. Step 6: Final answer
    x = 228.99

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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.