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Finding the Fourth Proportional to 258.97, 357.33 and 164.47

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Solution

The fourth proportional to 258.97, 357.33 and 164.47 is: 226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.97 : 357.33 = 164.47 : x
  2. Step 2: Convert to fraction form
    258.97/357.33 = 164.47/x
  3. Step 3: Cross multiply
    258.97x = 357.33 × 164.47
  4. Step 4: Simplify right side
    258.97x = 58,770.07
  5. Step 5: Solve for x
    x = 58,770.07/258.97
  6. Step 6: Final answer
    x = 226.94

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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.