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Finding the Fourth Proportional to 201.63, 300.74 and 190.41

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Solution

The fourth proportional to 201.63, 300.74 and 190.41 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.63 : 300.74 = 190.41 : x
  2. Step 2: Convert to fraction form
    201.63/300.74 = 190.41/x
  3. Step 3: Cross multiply
    201.63x = 300.74 × 190.41
  4. Step 4: Simplify right side
    201.63x = 57,262.95
  5. Step 5: Solve for x
    x = 57,262.95/201.63
  6. Step 6: Final answer
    x = 284.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.