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Finding the Fourth Proportional to 212.49, 293.16 and 142.59

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Solution

The fourth proportional to 212.49, 293.16 and 142.59 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.49 : 293.16 = 142.59 : x
  2. Step 2: Convert to fraction form
    212.49/293.16 = 142.59/x
  3. Step 3: Cross multiply
    212.49x = 293.16 × 142.59
  4. Step 4: Simplify right side
    212.49x = 41,801.68
  5. Step 5: Solve for x
    x = 41,801.68/212.49
  6. Step 6: Final answer
    x = 196.72

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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.