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Finding the Fourth Proportional to 286.94, 395.70 and 231.50

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Solution

The fourth proportional to 286.94, 395.70 and 231.50 is: 319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.94 : 395.70 = 231.50 : x
  2. Step 2: Convert to fraction form
    286.94/395.70 = 231.50/x
  3. Step 3: Cross multiply
    286.94x = 395.70 × 231.50
  4. Step 4: Simplify right side
    286.94x = 91,604.55
  5. Step 5: Solve for x
    x = 91,604.55/286.94
  6. Step 6: Final answer
    x = 319.25

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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.