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Finding the Fourth Proportional to 209.85, 314.87 and 107.08

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Solution

The fourth proportional to 209.85, 314.87 and 107.08 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 314.87 = 107.08 : x
  2. Step 2: Convert to fraction form
    209.85/314.87 = 107.08/x
  3. Step 3: Cross multiply
    209.85x = 314.87 × 107.08
  4. Step 4: Simplify right side
    209.85x = 33,717.33
  5. Step 5: Solve for x
    x = 33,717.33/209.85
  6. Step 6: Final answer
    x = 160.67

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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.