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Finding the Fourth Proportional to 212.23, 292.68 and 142.24

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Solution

The fourth proportional to 212.23, 292.68 and 142.24 is: 196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.23 : 292.68 = 142.24 : x
  2. Step 2: Convert to fraction form
    212.23/292.68 = 142.24/x
  3. Step 3: Cross multiply
    212.23x = 292.68 × 142.24
  4. Step 4: Simplify right side
    212.23x = 41,630.80
  5. Step 5: Solve for x
    x = 41,630.80/212.23
  6. Step 6: Final answer
    x = 196.16

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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.