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Finding the Fourth Proportional to 209.33, 313.92 and 182.33

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Solution

The fourth proportional to 209.33, 313.92 and 182.33 is: 273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.33 : 313.92 = 182.33 : x
  2. Step 2: Convert to fraction form
    209.33/313.92 = 182.33/x
  3. Step 3: Cross multiply
    209.33x = 313.92 × 182.33
  4. Step 4: Simplify right side
    209.33x = 57,235.46
  5. Step 5: Solve for x
    x = 57,235.46/209.33
  6. Step 6: Final answer
    x = 273.43

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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.