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Finding the Fourth Proportional to 211, 316.09 and 107.98

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Solution

The fourth proportional to 211, 316.09 and 107.98 is: 161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211 : 316.09 = 107.98 : x
  2. Step 2: Convert to fraction form
    211/316.09 = 107.98/x
  3. Step 3: Cross multiply
    211x = 316.09 × 107.98
  4. Step 4: Simplify right side
    211x = 34,131.40
  5. Step 5: Solve for x
    x = 34,131.40/211
  6. Step 6: Final answer
    x = 161.76

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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.