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Finding the Fourth Proportional to 202.80, 280.09 and 137.19

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Solution

The fourth proportional to 202.80, 280.09 and 137.19 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 280.09 = 137.19 : x
  2. Step 2: Convert to fraction form
    202.80/280.09 = 137.19/x
  3. Step 3: Cross multiply
    202.80x = 280.09 × 137.19
  4. Step 4: Simplify right side
    202.80x = 38,425.55
  5. Step 5: Solve for x
    x = 38,425.55/202.80
  6. Step 6: Final answer
    x = 189.48

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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.