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Finding the Fourth Proportional to 202.99, 280.30 and 140.80

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Solution

The fourth proportional to 202.99, 280.30 and 140.80 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 280.30 = 140.80 : x
  2. Step 2: Convert to fraction form
    202.99/280.30 = 140.80/x
  3. Step 3: Cross multiply
    202.99x = 280.30 × 140.80
  4. Step 4: Simplify right side
    202.99x = 39,466.24
  5. Step 5: Solve for x
    x = 39,466.24/202.99
  6. Step 6: Final answer
    x = 194.42

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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.