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Finding the Fourth Proportional to 201.26, 301.90 and 57

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Solution

The fourth proportional to 201.26, 301.90 and 57 is: 85.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.26 : 301.90 = 57 : x
  2. Step 2: Convert to fraction form
    201.26/301.90 = 57/x
  3. Step 3: Cross multiply
    201.26x = 301.90 × 57
  4. Step 4: Simplify right side
    201.26x = 17,208.30
  5. Step 5: Solve for x
    x = 17,208.30/201.26
  6. Step 6: Final answer
    x = 85.50

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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.