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Finding the Fourth Proportional to 213.09, 294.06 and 119.83

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Solution

The fourth proportional to 213.09, 294.06 and 119.83 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.09 : 294.06 = 119.83 : x
  2. Step 2: Convert to fraction form
    213.09/294.06 = 119.83/x
  3. Step 3: Cross multiply
    213.09x = 294.06 × 119.83
  4. Step 4: Simplify right side
    213.09x = 35,236.23
  5. Step 5: Solve for x
    x = 35,236.23/213.09
  6. Step 6: Final answer
    x = 165.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.