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Finding the Fourth Proportional to 209.17, 313.76 and 80.83

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Solution

The fourth proportional to 209.17, 313.76 and 80.83 is: 121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 313.76 = 80.83 : x
  2. Step 2: Convert to fraction form
    209.17/313.76 = 80.83/x
  3. Step 3: Cross multiply
    209.17x = 313.76 × 80.83
  4. Step 4: Simplify right side
    209.17x = 25,361.22
  5. Step 5: Solve for x
    x = 25,361.22/209.17
  6. Step 6: Final answer
    x = 121.25

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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.