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Finding the Fourth Proportional to 201.32, 300.22 and 190.21

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Solution

The fourth proportional to 201.32, 300.22 and 190.21 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.32 : 300.22 = 190.21 : x
  2. Step 2: Convert to fraction form
    201.32/300.22 = 190.21/x
  3. Step 3: Cross multiply
    201.32x = 300.22 × 190.21
  4. Step 4: Simplify right side
    201.32x = 57,102.39
  5. Step 5: Solve for x
    x = 57,102.39/201.32
  6. Step 6: Final answer
    x = 283.64

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Why These Related Problems?

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