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Finding the Fourth Proportional to 264.97, 396.68 and 200.23

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Solution

The fourth proportional to 264.97, 396.68 and 200.23 is: 299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.97 : 396.68 = 200.23 : x
  2. Step 2: Convert to fraction form
    264.97/396.68 = 200.23/x
  3. Step 3: Cross multiply
    264.97x = 396.68 × 200.23
  4. Step 4: Simplify right side
    264.97x = 79,427.24
  5. Step 5: Solve for x
    x = 79,427.24/264.97
  6. Step 6: Final answer
    x = 299.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.