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Finding the Fourth Proportional to 212.42, 293.29 and 137.77

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Solution

The fourth proportional to 212.42, 293.29 and 137.77 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.42 : 293.29 = 137.77 : x
  2. Step 2: Convert to fraction form
    212.42/293.29 = 137.77/x
  3. Step 3: Cross multiply
    212.42x = 293.29 × 137.77
  4. Step 4: Simplify right side
    212.42x = 40,405.49
  5. Step 5: Solve for x
    x = 40,405.49/212.42
  6. Step 6: Final answer
    x = 190.21

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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.