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Finding the Fourth Proportional to 202.42, 281.23 and 199.99

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Solution

The fourth proportional to 202.42, 281.23 and 199.99 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.42 : 281.23 = 199.99 : x
  2. Step 2: Convert to fraction form
    202.42/281.23 = 199.99/x
  3. Step 3: Cross multiply
    202.42x = 281.23 × 199.99
  4. Step 4: Simplify right side
    202.42x = 56,243.64
  5. Step 5: Solve for x
    x = 56,243.64/202.42
  6. Step 6: Final answer
    x = 277.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.