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Finding the Fourth Proportional to 258.71, 357.02 and 142.27

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Solution

The fourth proportional to 258.71, 357.02 and 142.27 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.71 : 357.02 = 142.27 : x
  2. Step 2: Convert to fraction form
    258.71/357.02 = 142.27/x
  3. Step 3: Cross multiply
    258.71x = 357.02 × 142.27
  4. Step 4: Simplify right side
    258.71x = 50,793.24
  5. Step 5: Solve for x
    x = 50,793.24/258.71
  6. Step 6: Final answer
    x = 196.33

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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.