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Finding the Fourth Proportional to 202.80, 303.14 and 197.94

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Solution

The fourth proportional to 202.80, 303.14 and 197.94 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 303.14 = 197.94 : x
  2. Step 2: Convert to fraction form
    202.80/303.14 = 197.94/x
  3. Step 3: Cross multiply
    202.80x = 303.14 × 197.94
  4. Step 4: Simplify right side
    202.80x = 60,005.16
  5. Step 5: Solve for x
    x = 60,005.16/202.80
  6. Step 6: Final answer
    x = 295.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.