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Finding the Fourth Proportional to 194.22, 267.76 and 150.03

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Solution

The fourth proportional to 194.22, 267.76 and 150.03 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.22 : 267.76 = 150.03 : x
  2. Step 2: Convert to fraction form
    194.22/267.76 = 150.03/x
  3. Step 3: Cross multiply
    194.22x = 267.76 × 150.03
  4. Step 4: Simplify right side
    194.22x = 40,172.03
  5. Step 5: Solve for x
    x = 40,172.03/194.22
  6. Step 6: Final answer
    x = 206.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.