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Finding the Fourth Proportional to 212.98, 293.94 and 138.26

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Solution

The fourth proportional to 212.98, 293.94 and 138.26 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 293.94 = 138.26 : x
  2. Step 2: Convert to fraction form
    212.98/293.94 = 138.26/x
  3. Step 3: Cross multiply
    212.98x = 293.94 × 138.26
  4. Step 4: Simplify right side
    212.98x = 40,640.14
  5. Step 5: Solve for x
    x = 40,640.14/212.98
  6. Step 6: Final answer
    x = 190.82

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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.