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Finding the Fourth Proportional to 201.08, 300.97 and 124.11

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Solution

The fourth proportional to 201.08, 300.97 and 124.11 is: 185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.08 : 300.97 = 124.11 : x
  2. Step 2: Convert to fraction form
    201.08/300.97 = 124.11/x
  3. Step 3: Cross multiply
    201.08x = 300.97 × 124.11
  4. Step 4: Simplify right side
    201.08x = 37,352.00
  5. Step 5: Solve for x
    x = 37,352.00/201.08
  6. Step 6: Final answer
    x = 185.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.