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Finding the Fourth Proportional to 212.02, 292.62 and 142.18

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Solution

The fourth proportional to 212.02, 292.62 and 142.18 is: 196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 292.62 = 142.18 : x
  2. Step 2: Convert to fraction form
    212.02/292.62 = 142.18/x
  3. Step 3: Cross multiply
    212.02x = 292.62 × 142.18
  4. Step 4: Simplify right side
    212.02x = 41,604.71
  5. Step 5: Solve for x
    x = 41,604.71/212.02
  6. Step 6: Final answer
    x = 196.23

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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.