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Finding the Fourth Proportional to 258.25, 356.41 and 141.84

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Solution

The fourth proportional to 258.25, 356.41 and 141.84 is: 195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.25 : 356.41 = 141.84 : x
  2. Step 2: Convert to fraction form
    258.25/356.41 = 141.84/x
  3. Step 3: Cross multiply
    258.25x = 356.41 × 141.84
  4. Step 4: Simplify right side
    258.25x = 50,551.06
  5. Step 5: Solve for x
    x = 50,551.06/258.25
  6. Step 6: Final answer
    x = 195.74

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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.