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Finding the Fourth Proportional to 212.32, 293.04 and 142.42

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Solution

The fourth proportional to 212.32, 293.04 and 142.42 is: 196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 293.04 = 142.42 : x
  2. Step 2: Convert to fraction form
    212.32/293.04 = 142.42/x
  3. Step 3: Cross multiply
    212.32x = 293.04 × 142.42
  4. Step 4: Simplify right side
    212.32x = 41,734.76
  5. Step 5: Solve for x
    x = 41,734.76/212.32
  6. Step 6: Final answer
    x = 196.57

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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.