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Finding the Fourth Proportional to 201.89, 302.94 and 80.39

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Solution

The fourth proportional to 201.89, 302.94 and 80.39 is: 120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 302.94 = 80.39 : x
  2. Step 2: Convert to fraction form
    201.89/302.94 = 80.39/x
  3. Step 3: Cross multiply
    201.89x = 302.94 × 80.39
  4. Step 4: Simplify right side
    201.89x = 24,354.10
  5. Step 5: Solve for x
    x = 24,354.10/201.89
  6. Step 6: Final answer
    x = 120.63

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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.