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Finding the Fourth Proportional to 209.39, 314.12 and 106.64

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Solution

The fourth proportional to 209.39, 314.12 and 106.64 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.39 : 314.12 = 106.64 : x
  2. Step 2: Convert to fraction form
    209.39/314.12 = 106.64/x
  3. Step 3: Cross multiply
    209.39x = 314.12 × 106.64
  4. Step 4: Simplify right side
    209.39x = 33,496.45
  5. Step 5: Solve for x
    x = 33,496.45/209.39
  6. Step 6: Final answer
    x = 159.97

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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.