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Finding the Fourth Proportional to 268.89, 371.01 and 164.04

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Solution

The fourth proportional to 268.89, 371.01 and 164.04 is: 226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.89 : 371.01 = 164.04 : x
  2. Step 2: Convert to fraction form
    268.89/371.01 = 164.04/x
  3. Step 3: Cross multiply
    268.89x = 371.01 × 164.04
  4. Step 4: Simplify right side
    268.89x = 60,860.48
  5. Step 5: Solve for x
    x = 60,860.48/268.89
  6. Step 6: Final answer
    x = 226.34

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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.