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Finding the Fourth Proportional to 258.67, 356.97 and 142.24

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Solution

The fourth proportional to 258.67, 356.97 and 142.24 is: 196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.67 : 356.97 = 142.24 : x
  2. Step 2: Convert to fraction form
    258.67/356.97 = 142.24/x
  3. Step 3: Cross multiply
    258.67x = 356.97 × 142.24
  4. Step 4: Simplify right side
    258.67x = 50,775.41
  5. Step 5: Solve for x
    x = 50,775.41/258.67
  6. Step 6: Final answer
    x = 196.29

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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.