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Finding the Fourth Proportional to 207.70, 286.41 and 142.23

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Solution

The fourth proportional to 207.70, 286.41 and 142.23 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 286.41 = 142.23 : x
  2. Step 2: Convert to fraction form
    207.70/286.41 = 142.23/x
  3. Step 3: Cross multiply
    207.70x = 286.41 × 142.23
  4. Step 4: Simplify right side
    207.70x = 40,736.09
  5. Step 5: Solve for x
    x = 40,736.09/207.70
  6. Step 6: Final answer
    x = 196.13

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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.