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Finding the Fourth Proportional to 209.27, 288.79 and 117.27

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Solution

The fourth proportional to 209.27, 288.79 and 117.27 is: 161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.27 : 288.79 = 117.27 : x
  2. Step 2: Convert to fraction form
    209.27/288.79 = 117.27/x
  3. Step 3: Cross multiply
    209.27x = 288.79 × 117.27
  4. Step 4: Simplify right side
    209.27x = 33,864.96
  5. Step 5: Solve for x
    x = 33,864.96/209.27
  6. Step 6: Final answer
    x = 161.83

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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.