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Finding the Fourth Proportional to 209.82, 314.46 and 161.76

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Solution

The fourth proportional to 209.82, 314.46 and 161.76 is: 242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 314.46 = 161.76 : x
  2. Step 2: Convert to fraction form
    209.82/314.46 = 161.76/x
  3. Step 3: Cross multiply
    209.82x = 314.46 × 161.76
  4. Step 4: Simplify right side
    209.82x = 50,867.05
  5. Step 5: Solve for x
    x = 50,867.05/209.82
  6. Step 6: Final answer
    x = 242.43

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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.