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Finding the Fourth Proportional to 209.57, 289.19 and 116.31

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Solution

The fourth proportional to 209.57, 289.19 and 116.31 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 289.19 = 116.31 : x
  2. Step 2: Convert to fraction form
    209.57/289.19 = 116.31/x
  3. Step 3: Cross multiply
    209.57x = 289.19 × 116.31
  4. Step 4: Simplify right side
    209.57x = 33,634.46
  5. Step 5: Solve for x
    x = 33,634.46/209.57
  6. Step 6: Final answer
    x = 160.50

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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.