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Finding the Fourth Proportional to 201.67, 302.51 and 120.27

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Solution

The fourth proportional to 201.67, 302.51 and 120.27 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 302.51 = 120.27 : x
  2. Step 2: Convert to fraction form
    201.67/302.51 = 120.27/x
  3. Step 3: Cross multiply
    201.67x = 302.51 × 120.27
  4. Step 4: Simplify right side
    201.67x = 36,382.88
  5. Step 5: Solve for x
    x = 36,382.88/201.67
  6. Step 6: Final answer
    x = 180.41

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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.