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Finding the Fourth Proportional to 212.44, 293.01 and 137.77

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Solution

The fourth proportional to 212.44, 293.01 and 137.77 is: 190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 293.01 = 137.77 : x
  2. Step 2: Convert to fraction form
    212.44/293.01 = 137.77/x
  3. Step 3: Cross multiply
    212.44x = 293.01 × 137.77
  4. Step 4: Simplify right side
    212.44x = 40,367.99
  5. Step 5: Solve for x
    x = 40,367.99/212.44
  6. Step 6: Final answer
    x = 190.02

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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.