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Finding the Fourth Proportional to 262.44, 361.99 and 164.03

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Solution

The fourth proportional to 262.44, 361.99 and 164.03 is: 226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.44 : 361.99 = 164.03 : x
  2. Step 2: Convert to fraction form
    262.44/361.99 = 164.03/x
  3. Step 3: Cross multiply
    262.44x = 361.99 × 164.03
  4. Step 4: Simplify right side
    262.44x = 59,376.08
  5. Step 5: Solve for x
    x = 59,376.08/262.44
  6. Step 6: Final answer
    x = 226.25

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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.