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Finding the Fourth Proportional to 212.80, 293.47 and 138.08

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Solution

The fourth proportional to 212.80, 293.47 and 138.08 is: 190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.80 : 293.47 = 138.08 : x
  2. Step 2: Convert to fraction form
    212.80/293.47 = 138.08/x
  3. Step 3: Cross multiply
    212.80x = 293.47 × 138.08
  4. Step 4: Simplify right side
    212.80x = 40,520.87
  5. Step 5: Solve for x
    x = 40,520.87/212.80
  6. Step 6: Final answer
    x = 190.42

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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.