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Finding the Fourth Proportional to 201.26, 303.23 and 182.03

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Solution

The fourth proportional to 201.26, 303.23 and 182.03 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.26 : 303.23 = 182.03 : x
  2. Step 2: Convert to fraction form
    201.26/303.23 = 182.03/x
  3. Step 3: Cross multiply
    201.26x = 303.23 × 182.03
  4. Step 4: Simplify right side
    201.26x = 55,194.53
  5. Step 5: Solve for x
    x = 55,194.53/201.26
  6. Step 6: Final answer
    x = 274.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.