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Finding the Fourth Proportional to 209.63, 314.40 and 106.97

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Solution

The fourth proportional to 209.63, 314.40 and 106.97 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 314.40 = 106.97 : x
  2. Step 2: Convert to fraction form
    209.63/314.40 = 106.97/x
  3. Step 3: Cross multiply
    209.63x = 314.40 × 106.97
  4. Step 4: Simplify right side
    209.63x = 33,631.37
  5. Step 5: Solve for x
    x = 33,631.37/209.63
  6. Step 6: Final answer
    x = 160.43

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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.