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Finding the Fourth Proportional to 209.96, 315.12 and 113.84

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Solution

The fourth proportional to 209.96, 315.12 and 113.84 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 315.12 = 113.84 : x
  2. Step 2: Convert to fraction form
    209.96/315.12 = 113.84/x
  3. Step 3: Cross multiply
    209.96x = 315.12 × 113.84
  4. Step 4: Simplify right side
    209.96x = 35,873.26
  5. Step 5: Solve for x
    x = 35,873.26/209.96
  6. Step 6: Final answer
    x = 170.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.