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Finding the Fourth Proportional to 199.98, 276.08 and 137.78

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Solution

The fourth proportional to 199.98, 276.08 and 137.78 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.98 : 276.08 = 137.78 : x
  2. Step 2: Convert to fraction form
    199.98/276.08 = 137.78/x
  3. Step 3: Cross multiply
    199.98x = 276.08 × 137.78
  4. Step 4: Simplify right side
    199.98x = 38,038.30
  5. Step 5: Solve for x
    x = 38,038.30/199.98
  6. Step 6: Final answer
    x = 190.21

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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.