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Finding the Fourth Proportional to 662.32, 993.30 and 200.02

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Solution

The fourth proportional to 662.32, 993.30 and 200.02 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 993.30 = 200.02 : x
  2. Step 2: Convert to fraction form
    662.32/993.30 = 200.02/x
  3. Step 3: Cross multiply
    662.32x = 993.30 × 200.02
  4. Step 4: Simplify right side
    662.32x = 198,679.87
  5. Step 5: Solve for x
    x = 198,679.87/662.32
  6. Step 6: Final answer
    x = 299.98

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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.