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Finding the Fourth Proportional to 242.97, 335.09 and 164.26

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Solution

The fourth proportional to 242.97, 335.09 and 164.26 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.97 : 335.09 = 164.26 : x
  2. Step 2: Convert to fraction form
    242.97/335.09 = 164.26/x
  3. Step 3: Cross multiply
    242.97x = 335.09 × 164.26
  4. Step 4: Simplify right side
    242.97x = 55,041.79
  5. Step 5: Solve for x
    x = 55,041.79/242.97
  6. Step 6: Final answer
    x = 226.54

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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.