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Finding the Fourth Proportional to 209.31, 289.26 and 160.62

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Solution

The fourth proportional to 209.31, 289.26 and 160.62 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.31 : 289.26 = 160.62 : x
  2. Step 2: Convert to fraction form
    209.31/289.26 = 160.62/x
  3. Step 3: Cross multiply
    209.31x = 289.26 × 160.62
  4. Step 4: Simplify right side
    209.31x = 46,460.94
  5. Step 5: Solve for x
    x = 46,460.94/209.31
  6. Step 6: Final answer
    x = 221.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.