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Finding the Fourth Proportional to 207.96, 286.78 and 178.54

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Solution

The fourth proportional to 207.96, 286.78 and 178.54 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 286.78 = 178.54 : x
  2. Step 2: Convert to fraction form
    207.96/286.78 = 178.54/x
  3. Step 3: Cross multiply
    207.96x = 286.78 × 178.54
  4. Step 4: Simplify right side
    207.96x = 51,201.70
  5. Step 5: Solve for x
    x = 51,201.70/207.96
  6. Step 6: Final answer
    x = 246.21

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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.