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Finding the Fourth Proportional to 201.89, 301.78 and 174.78

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Solution

The fourth proportional to 201.89, 301.78 and 174.78 is: 261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 301.78 = 174.78 : x
  2. Step 2: Convert to fraction form
    201.89/301.78 = 174.78/x
  3. Step 3: Cross multiply
    201.89x = 301.78 × 174.78
  4. Step 4: Simplify right side
    201.89x = 52,745.11
  5. Step 5: Solve for x
    x = 52,745.11/201.89
  6. Step 6: Final answer
    x = 261.26

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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.