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Finding the Fourth Proportional to 201.62, 301.84 and 170.77

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Solution

The fourth proportional to 201.62, 301.84 and 170.77 is: 255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 301.84 = 170.77 : x
  2. Step 2: Convert to fraction form
    201.62/301.84 = 170.77/x
  3. Step 3: Cross multiply
    201.62x = 301.84 × 170.77
  4. Step 4: Simplify right side
    201.62x = 51,545.43
  5. Step 5: Solve for x
    x = 51,545.43/201.62
  6. Step 6: Final answer
    x = 255.66

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