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Finding the Fourth Proportional to 212.37, 293.10 and 137.66

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Solution

The fourth proportional to 212.37, 293.10 and 137.66 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.37 : 293.10 = 137.66 : x
  2. Step 2: Convert to fraction form
    212.37/293.10 = 137.66/x
  3. Step 3: Cross multiply
    212.37x = 293.10 × 137.66
  4. Step 4: Simplify right side
    212.37x = 40,348.15
  5. Step 5: Solve for x
    x = 40,348.15/212.37
  6. Step 6: Final answer
    x = 189.99

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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.