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Finding the Fourth Proportional to 209.18, 288.77 and 162.68

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Solution

The fourth proportional to 209.18, 288.77 and 162.68 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.18 : 288.77 = 162.68 : x
  2. Step 2: Convert to fraction form
    209.18/288.77 = 162.68/x
  3. Step 3: Cross multiply
    209.18x = 288.77 × 162.68
  4. Step 4: Simplify right side
    209.18x = 46,974.85
  5. Step 5: Solve for x
    x = 46,974.85/209.18
  6. Step 6: Final answer
    x = 224.56

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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.