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Finding the Fourth Proportional to 201.12, 301.41 and 146.76

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Solution

The fourth proportional to 201.12, 301.41 and 146.76 is: 219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 301.41 = 146.76 : x
  2. Step 2: Convert to fraction form
    201.12/301.41 = 146.76/x
  3. Step 3: Cross multiply
    201.12x = 301.41 × 146.76
  4. Step 4: Simplify right side
    201.12x = 44,234.93
  5. Step 5: Solve for x
    x = 44,234.93/201.12
  6. Step 6: Final answer
    x = 219.94

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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.