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Finding the Fourth Proportional to 209.85, 289.62 and 160.71

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Solution

The fourth proportional to 209.85, 289.62 and 160.71 is: 221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 289.62 = 160.71 : x
  2. Step 2: Convert to fraction form
    209.85/289.62 = 160.71/x
  3. Step 3: Cross multiply
    209.85x = 289.62 × 160.71
  4. Step 4: Simplify right side
    209.85x = 46,544.83
  5. Step 5: Solve for x
    x = 46,544.83/209.85
  6. Step 6: Final answer
    x = 221.80

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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.