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Finding the Fourth Proportional to 212.20, 292.89 and 142.36

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Solution

The fourth proportional to 212.20, 292.89 and 142.36 is: 196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.20 : 292.89 = 142.36 : x
  2. Step 2: Convert to fraction form
    212.20/292.89 = 142.36/x
  3. Step 3: Cross multiply
    212.20x = 292.89 × 142.36
  4. Step 4: Simplify right side
    212.20x = 41,695.82
  5. Step 5: Solve for x
    x = 41,695.82/212.20
  6. Step 6: Final answer
    x = 196.49

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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.