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Finding the Fourth Proportional to 212.96, 293.56 and 142.97

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Solution

The fourth proportional to 212.96, 293.56 and 142.97 is: 197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 293.56 = 142.97 : x
  2. Step 2: Convert to fraction form
    212.96/293.56 = 142.97/x
  3. Step 3: Cross multiply
    212.96x = 293.56 × 142.97
  4. Step 4: Simplify right side
    212.96x = 41,968.45
  5. Step 5: Solve for x
    x = 41,968.45/212.96
  6. Step 6: Final answer
    x = 197.07

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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.