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Finding the Fourth Proportional to 201.24, 300.40 and 186.21

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Solution

The fourth proportional to 201.24, 300.40 and 186.21 is: 277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 300.40 = 186.21 : x
  2. Step 2: Convert to fraction form
    201.24/300.40 = 186.21/x
  3. Step 3: Cross multiply
    201.24x = 300.40 × 186.21
  4. Step 4: Simplify right side
    201.24x = 55,936.73
  5. Step 5: Solve for x
    x = 55,936.73/201.24
  6. Step 6: Final answer
    x = 277.96

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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.