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Finding the Fourth Proportional to 209.22, 313.74 and 111.70

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Solution

The fourth proportional to 209.22, 313.74 and 111.70 is: 167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.22 : 313.74 = 111.70 : x
  2. Step 2: Convert to fraction form
    209.22/313.74 = 111.70/x
  3. Step 3: Cross multiply
    209.22x = 313.74 × 111.70
  4. Step 4: Simplify right side
    209.22x = 35,042.63
  5. Step 5: Solve for x
    x = 35,042.63/209.22
  6. Step 6: Final answer
    x = 167.49

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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.