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Finding the Fourth Proportional to 209.33, 313.84 and 111.83

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Solution

The fourth proportional to 209.33, 313.84 and 111.83 is: 167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.33 : 313.84 = 111.83 : x
  2. Step 2: Convert to fraction form
    209.33/313.84 = 111.83/x
  3. Step 3: Cross multiply
    209.33x = 313.84 × 111.83
  4. Step 4: Simplify right side
    209.33x = 35,095.16
  5. Step 5: Solve for x
    x = 35,095.16/209.33
  6. Step 6: Final answer
    x = 167.65

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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.