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Finding the Fourth Proportional to 212.12, 292.96 and 142.06

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Solution

The fourth proportional to 212.12, 292.96 and 142.06 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.12 : 292.96 = 142.06 : x
  2. Step 2: Convert to fraction form
    212.12/292.96 = 142.06/x
  3. Step 3: Cross multiply
    212.12x = 292.96 × 142.06
  4. Step 4: Simplify right side
    212.12x = 41,617.90
  5. Step 5: Solve for x
    x = 41,617.90/212.12
  6. Step 6: Final answer
    x = 196.20

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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.