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Finding the Fourth Proportional to 168.36, 231.72 and 150

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Solution

The fourth proportional to 168.36, 231.72 and 150 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.36 : 231.72 = 150 : x
  2. Step 2: Convert to fraction form
    168.36/231.72 = 150/x
  3. Step 3: Cross multiply
    168.36x = 231.72 × 150
  4. Step 4: Simplify right side
    168.36x = 34,758
  5. Step 5: Solve for x
    x = 34,758/168.36
  6. Step 6: Final answer
    x = 206.45

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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.