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Finding the Fourth Proportional to 212.06, 292.56 and 142.20

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Solution

The fourth proportional to 212.06, 292.56 and 142.20 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 292.56 = 142.20 : x
  2. Step 2: Convert to fraction form
    212.06/292.56 = 142.20/x
  3. Step 3: Cross multiply
    212.06x = 292.56 × 142.20
  4. Step 4: Simplify right side
    212.06x = 41,602.03
  5. Step 5: Solve for x
    x = 41,602.03/212.06
  6. Step 6: Final answer
    x = 196.18

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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.