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Finding the Fourth Proportional to 212.06, 292.62 and 138.24

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Solution

The fourth proportional to 212.06, 292.62 and 138.24 is: 190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 292.62 = 138.24 : x
  2. Step 2: Convert to fraction form
    212.06/292.62 = 138.24/x
  3. Step 3: Cross multiply
    212.06x = 292.62 × 138.24
  4. Step 4: Simplify right side
    212.06x = 40,451.79
  5. Step 5: Solve for x
    x = 40,451.79/212.06
  6. Step 6: Final answer
    x = 190.76

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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.