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Finding the Fourth Proportional to 207.99, 286.43 and 178.25

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Solution

The fourth proportional to 207.99, 286.43 and 178.25 is: 245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.99 : 286.43 = 178.25 : x
  2. Step 2: Convert to fraction form
    207.99/286.43 = 178.25/x
  3. Step 3: Cross multiply
    207.99x = 286.43 × 178.25
  4. Step 4: Simplify right side
    207.99x = 51,054.54
  5. Step 5: Solve for x
    x = 51,054.54/207.99
  6. Step 6: Final answer
    x = 245.47

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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.