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Finding the Fourth Proportional to 209.36, 311.69 and 208.34

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Solution

The fourth proportional to 209.36, 311.69 and 208.34 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.36 : 311.69 = 208.34 : x
  2. Step 2: Convert to fraction form
    209.36/311.69 = 208.34/x
  3. Step 3: Cross multiply
    209.36x = 311.69 × 208.34
  4. Step 4: Simplify right side
    209.36x = 64,936.45
  5. Step 5: Solve for x
    x = 64,936.45/209.36
  6. Step 6: Final answer
    x = 310.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.