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Finding the Fourth Proportional to 213.47, 294.61 and 120.22

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Solution

The fourth proportional to 213.47, 294.61 and 120.22 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 294.61 = 120.22 : x
  2. Step 2: Convert to fraction form
    213.47/294.61 = 120.22/x
  3. Step 3: Cross multiply
    213.47x = 294.61 × 120.22
  4. Step 4: Simplify right side
    213.47x = 35,416.54
  5. Step 5: Solve for x
    x = 35,416.54/213.47
  6. Step 6: Final answer
    x = 165.91

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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.