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Finding the Fourth Proportional to 209.45, 289.05 and 116.20

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Solution

The fourth proportional to 209.45, 289.05 and 116.20 is: 160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.45 : 289.05 = 116.20 : x
  2. Step 2: Convert to fraction form
    209.45/289.05 = 116.20/x
  3. Step 3: Cross multiply
    209.45x = 289.05 × 116.20
  4. Step 4: Simplify right side
    209.45x = 33,586.89
  5. Step 5: Solve for x
    x = 33,586.89/209.45
  6. Step 6: Final answer
    x = 160.36

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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.