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Finding the Fourth Proportional to 258.85, 357.20 and 142.41

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Solution

The fourth proportional to 258.85, 357.20 and 142.41 is: 196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.85 : 357.20 = 142.41 : x
  2. Step 2: Convert to fraction form
    258.85/357.20 = 142.41/x
  3. Step 3: Cross multiply
    258.85x = 357.20 × 142.41
  4. Step 4: Simplify right side
    258.85x = 50,868.85
  5. Step 5: Solve for x
    x = 50,868.85/258.85
  6. Step 6: Final answer
    x = 196.52

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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.