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Finding the Fourth Proportional to 199.97, 276.09 and 137.78

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Solution

The fourth proportional to 199.97, 276.09 and 137.78 is: 190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 276.09 = 137.78 : x
  2. Step 2: Convert to fraction form
    199.97/276.09 = 137.78/x
  3. Step 3: Cross multiply
    199.97x = 276.09 × 137.78
  4. Step 4: Simplify right side
    199.97x = 38,038.99
  5. Step 5: Solve for x
    x = 38,038.99/199.97
  6. Step 6: Final answer
    x = 190.22

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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.