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Finding the Fourth Proportional to 213.31, 294.38 and 120.06

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Solution

The fourth proportional to 213.31, 294.38 and 120.06 is: 165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.31 : 294.38 = 120.06 : x
  2. Step 2: Convert to fraction form
    213.31/294.38 = 120.06/x
  3. Step 3: Cross multiply
    213.31x = 294.38 × 120.06
  4. Step 4: Simplify right side
    213.31x = 35,343.11
  5. Step 5: Solve for x
    x = 35,343.11/213.31
  6. Step 6: Final answer
    x = 165.69

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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.