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Finding the Fourth Proportional to 264.80, 367.13 and 250.97

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Solution

The fourth proportional to 264.80, 367.13 and 250.97 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 367.13 = 250.97 : x
  2. Step 2: Convert to fraction form
    264.80/367.13 = 250.97/x
  3. Step 3: Cross multiply
    264.80x = 367.13 × 250.97
  4. Step 4: Simplify right side
    264.80x = 92,137.41
  5. Step 5: Solve for x
    x = 92,137.41/264.80
  6. Step 6: Final answer
    x = 347.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.