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Finding the Fourth Proportional to 202.14, 280.23 and 195.42

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Solution

The fourth proportional to 202.14, 280.23 and 195.42 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.14 : 280.23 = 195.42 : x
  2. Step 2: Convert to fraction form
    202.14/280.23 = 195.42/x
  3. Step 3: Cross multiply
    202.14x = 280.23 × 195.42
  4. Step 4: Simplify right side
    202.14x = 54,762.55
  5. Step 5: Solve for x
    x = 54,762.55/202.14
  6. Step 6: Final answer
    x = 270.91

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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.