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Finding the Fourth Proportional to 209.82, 314.34 and 106.94

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Solution

The fourth proportional to 209.82, 314.34 and 106.94 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 314.34 = 106.94 : x
  2. Step 2: Convert to fraction form
    209.82/314.34 = 106.94/x
  3. Step 3: Cross multiply
    209.82x = 314.34 × 106.94
  4. Step 4: Simplify right side
    209.82x = 33,615.52
  5. Step 5: Solve for x
    x = 33,615.52/209.82
  6. Step 6: Final answer
    x = 160.21

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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.