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Finding the Fourth Proportional to 209.82, 289.71 and 160.95

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Solution

The fourth proportional to 209.82, 289.71 and 160.95 is: 222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 289.71 = 160.95 : x
  2. Step 2: Convert to fraction form
    209.82/289.71 = 160.95/x
  3. Step 3: Cross multiply
    209.82x = 289.71 × 160.95
  4. Step 4: Simplify right side
    209.82x = 46,628.82
  5. Step 5: Solve for x
    x = 46,628.82/209.82
  6. Step 6: Final answer
    x = 222.23

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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.