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Finding the Fourth Proportional to 202.66, 303.50 and 199.30

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Solution

The fourth proportional to 202.66, 303.50 and 199.30 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.66 : 303.50 = 199.30 : x
  2. Step 2: Convert to fraction form
    202.66/303.50 = 199.30/x
  3. Step 3: Cross multiply
    202.66x = 303.50 × 199.30
  4. Step 4: Simplify right side
    202.66x = 60,487.55
  5. Step 5: Solve for x
    x = 60,487.55/202.66
  6. Step 6: Final answer
    x = 298.47

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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.