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Finding the Fourth Proportional to 201.83, 301.25 and 178.75

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Solution

The fourth proportional to 201.83, 301.25 and 178.75 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.83 : 301.25 = 178.75 : x
  2. Step 2: Convert to fraction form
    201.83/301.25 = 178.75/x
  3. Step 3: Cross multiply
    201.83x = 301.25 × 178.75
  4. Step 4: Simplify right side
    201.83x = 53,847.57
  5. Step 5: Solve for x
    x = 53,847.57/201.83
  6. Step 6: Final answer
    x = 266.80

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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.