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Finding the Fourth Proportional to 201.51, 300.94 and 170.80

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Solution

The fourth proportional to 201.51, 300.94 and 170.80 is: 255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.51 : 300.94 = 170.80 : x
  2. Step 2: Convert to fraction form
    201.51/300.94 = 170.80/x
  3. Step 3: Cross multiply
    201.51x = 300.94 × 170.80
  4. Step 4: Simplify right side
    201.51x = 51,399.37
  5. Step 5: Solve for x
    x = 51,399.37/201.51
  6. Step 6: Final answer
    x = 255.07

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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.