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Finding the Fourth Proportional to 209.86, 289.46 and 160.58

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Solution

The fourth proportional to 209.86, 289.46 and 160.58 is: 221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.86 : 289.46 = 160.58 : x
  2. Step 2: Convert to fraction form
    209.86/289.46 = 160.58/x
  3. Step 3: Cross multiply
    209.86x = 289.46 × 160.58
  4. Step 4: Simplify right side
    209.86x = 46,481.49
  5. Step 5: Solve for x
    x = 46,481.49/209.86
  6. Step 6: Final answer
    x = 221.49

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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.