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Finding the Fourth Proportional to 201.27, 301.75 and 120.17

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Solution

The fourth proportional to 201.27, 301.75 and 120.17 is: 180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.27 : 301.75 = 120.17 : x
  2. Step 2: Convert to fraction form
    201.27/301.75 = 120.17/x
  3. Step 3: Cross multiply
    201.27x = 301.75 × 120.17
  4. Step 4: Simplify right side
    201.27x = 36,259.49
  5. Step 5: Solve for x
    x = 36,259.49/201.27
  6. Step 6: Final answer
    x = 180.15

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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.