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Finding the Fourth Proportional to 209.88, 314.82 and 107.14

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Solution

The fourth proportional to 209.88, 314.82 and 107.14 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 314.82 = 107.14 : x
  2. Step 2: Convert to fraction form
    209.88/314.82 = 107.14/x
  3. Step 3: Cross multiply
    209.88x = 314.82 × 107.14
  4. Step 4: Simplify right side
    209.88x = 33,729.03
  5. Step 5: Solve for x
    x = 33,729.03/209.88
  6. Step 6: Final answer
    x = 160.71

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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.