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Finding the Fourth Proportional to 262.28, 361.94 and 164.00

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Solution

The fourth proportional to 262.28, 361.94 and 164.00 is: 226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.28 : 361.94 = 164.00 : x
  2. Step 2: Convert to fraction form
    262.28/361.94 = 164.00/x
  3. Step 3: Cross multiply
    262.28x = 361.94 × 164.00
  4. Step 4: Simplify right side
    262.28x = 59,358.24
  5. Step 5: Solve for x
    x = 59,358.24/262.28
  6. Step 6: Final answer
    x = 226.31

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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.