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Finding the Fourth Proportional to 213.63, 294.81 and 120.38

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Solution

The fourth proportional to 213.63, 294.81 and 120.38 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 294.81 = 120.38 : x
  2. Step 2: Convert to fraction form
    213.63/294.81 = 120.38/x
  3. Step 3: Cross multiply
    213.63x = 294.81 × 120.38
  4. Step 4: Simplify right side
    213.63x = 35,489.15
  5. Step 5: Solve for x
    x = 35,489.15/213.63
  6. Step 6: Final answer
    x = 166.13

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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.