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Finding the Fourth Proportional to 209.96, 289.68 and 140.12

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Solution

The fourth proportional to 209.96, 289.68 and 140.12 is: 193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 289.68 = 140.12 : x
  2. Step 2: Convert to fraction form
    209.96/289.68 = 140.12/x
  3. Step 3: Cross multiply
    209.96x = 289.68 × 140.12
  4. Step 4: Simplify right side
    209.96x = 40,589.96
  5. Step 5: Solve for x
    x = 40,589.96/209.96
  6. Step 6: Final answer
    x = 193.32

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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.