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Finding the Fourth Proportional to 262.36, 361.99 and 150.33

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Solution

The fourth proportional to 262.36, 361.99 and 150.33 is: 207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.36 : 361.99 = 150.33 : x
  2. Step 2: Convert to fraction form
    262.36/361.99 = 150.33/x
  3. Step 3: Cross multiply
    262.36x = 361.99 × 150.33
  4. Step 4: Simplify right side
    262.36x = 54,416.62
  5. Step 5: Solve for x
    x = 54,416.62/262.36
  6. Step 6: Final answer
    x = 207.41

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Why These Related Problems?

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