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Finding the Fourth Proportional to 207.75, 286.07 and 142.14

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Solution

The fourth proportional to 207.75, 286.07 and 142.14 is: 195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.75 : 286.07 = 142.14 : x
  2. Step 2: Convert to fraction form
    207.75/286.07 = 142.14/x
  3. Step 3: Cross multiply
    207.75x = 286.07 × 142.14
  4. Step 4: Simplify right side
    207.75x = 40,661.28
  5. Step 5: Solve for x
    x = 40,661.28/207.75
  6. Step 6: Final answer
    x = 195.72

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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.