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Finding the Fourth Proportional to 213.29, 294.31 and 120.02

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Solution

The fourth proportional to 213.29, 294.31 and 120.02 is: 165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.29 : 294.31 = 120.02 : x
  2. Step 2: Convert to fraction form
    213.29/294.31 = 120.02/x
  3. Step 3: Cross multiply
    213.29x = 294.31 × 120.02
  4. Step 4: Simplify right side
    213.29x = 35,323.09
  5. Step 5: Solve for x
    x = 35,323.09/213.29
  6. Step 6: Final answer
    x = 165.61

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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.