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Finding the Fourth Proportional to 258.14, 356.24 and 164.84

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Solution

The fourth proportional to 258.14, 356.24 and 164.84 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 356.24 = 164.84 : x
  2. Step 2: Convert to fraction form
    258.14/356.24 = 164.84/x
  3. Step 3: Cross multiply
    258.14x = 356.24 × 164.84
  4. Step 4: Simplify right side
    258.14x = 58,721.23
  5. Step 5: Solve for x
    x = 58,721.23/258.14
  6. Step 6: Final answer
    x = 227.48

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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.