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Finding the Fourth Proportional to 213.94, 294.73 and 170.20

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Solution

The fourth proportional to 213.94, 294.73 and 170.20 is: 234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 294.73 = 170.20 : x
  2. Step 2: Convert to fraction form
    213.94/294.73 = 170.20/x
  3. Step 3: Cross multiply
    213.94x = 294.73 × 170.20
  4. Step 4: Simplify right side
    213.94x = 50,163.05
  5. Step 5: Solve for x
    x = 50,163.05/213.94
  6. Step 6: Final answer
    x = 234.47

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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.