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Finding the Fourth Proportional to 202.81, 280.26 and 195.25

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Solution

The fourth proportional to 202.81, 280.26 and 195.25 is: 269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.81 : 280.26 = 195.25 : x
  2. Step 2: Convert to fraction form
    202.81/280.26 = 195.25/x
  3. Step 3: Cross multiply
    202.81x = 280.26 × 195.25
  4. Step 4: Simplify right side
    202.81x = 54,720.77
  5. Step 5: Solve for x
    x = 54,720.77/202.81
  6. Step 6: Final answer
    x = 269.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.