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Finding the Fourth Proportional to 258.89, 357.24 and 142.43

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Solution

The fourth proportional to 258.89, 357.24 and 142.43 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.89 : 357.24 = 142.43 : x
  2. Step 2: Convert to fraction form
    258.89/357.24 = 142.43/x
  3. Step 3: Cross multiply
    258.89x = 357.24 × 142.43
  4. Step 4: Simplify right side
    258.89x = 50,881.69
  5. Step 5: Solve for x
    x = 50,881.69/258.89
  6. Step 6: Final answer
    x = 196.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.