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Finding the Fourth Proportional to 212.94, 293.81 and 142.88

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Solution

The fourth proportional to 212.94, 293.81 and 142.88 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 293.81 = 142.88 : x
  2. Step 2: Convert to fraction form
    212.94/293.81 = 142.88/x
  3. Step 3: Cross multiply
    212.94x = 293.81 × 142.88
  4. Step 4: Simplify right side
    212.94x = 41,977.39
  5. Step 5: Solve for x
    x = 41,977.39/212.94
  6. Step 6: Final answer
    x = 197.13

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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.