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Finding the Fourth Proportional to 201.10, 301.64 and 72.76

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Solution

The fourth proportional to 201.10, 301.64 and 72.76 is: 109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.10 : 301.64 = 72.76 : x
  2. Step 2: Convert to fraction form
    201.10/301.64 = 72.76/x
  3. Step 3: Cross multiply
    201.10x = 301.64 × 72.76
  4. Step 4: Simplify right side
    201.10x = 21,947.33
  5. Step 5: Solve for x
    x = 21,947.33/201.10
  6. Step 6: Final answer
    x = 109.14

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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.