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Finding the Fourth Proportional to 662.45, 993.69 and 200.25

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Solution

The fourth proportional to 662.45, 993.69 and 200.25 is: 300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.45 : 993.69 = 200.25 : x
  2. Step 2: Convert to fraction form
    662.45/993.69 = 200.25/x
  3. Step 3: Cross multiply
    662.45x = 993.69 × 200.25
  4. Step 4: Simplify right side
    662.45x = 198,986.42
  5. Step 5: Solve for x
    x = 198,986.42/662.45
  6. Step 6: Final answer
    x = 300.38

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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.