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Finding the Fourth Proportional to 201.02, 301.57 and 77.62

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Solution

The fourth proportional to 201.02, 301.57 and 77.62 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.02 : 301.57 = 77.62 : x
  2. Step 2: Convert to fraction form
    201.02/301.57 = 77.62/x
  3. Step 3: Cross multiply
    201.02x = 301.57 × 77.62
  4. Step 4: Simplify right side
    201.02x = 23,406.92
  5. Step 5: Solve for x
    x = 23,406.92/201.02
  6. Step 6: Final answer
    x = 116.44

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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.