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Finding the Fourth Proportional to 213.09, 294.08 and 119.85

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Solution

The fourth proportional to 213.09, 294.08 and 119.85 is: 165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.09 : 294.08 = 119.85 : x
  2. Step 2: Convert to fraction form
    213.09/294.08 = 119.85/x
  3. Step 3: Cross multiply
    213.09x = 294.08 × 119.85
  4. Step 4: Simplify right side
    213.09x = 35,244.89
  5. Step 5: Solve for x
    x = 35,244.89/213.09
  6. Step 6: Final answer
    x = 165.40

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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.