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Finding the Fourth Proportional to 662.30, 993.54 and 200.02

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Solution

The fourth proportional to 662.30, 993.54 and 200.02 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.30 : 993.54 = 200.02 : x
  2. Step 2: Convert to fraction form
    662.30/993.54 = 200.02/x
  3. Step 3: Cross multiply
    662.30x = 993.54 × 200.02
  4. Step 4: Simplify right side
    662.30x = 198,731.47
  5. Step 5: Solve for x
    x = 198,731.47/662.30
  6. Step 6: Final answer
    x = 300.06

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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.