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Finding the Fourth Proportional to 258.75, 357.08 and 142.34

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Solution

The fourth proportional to 258.75, 357.08 and 142.34 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.75 : 357.08 = 142.34 : x
  2. Step 2: Convert to fraction form
    258.75/357.08 = 142.34/x
  3. Step 3: Cross multiply
    258.75x = 357.08 × 142.34
  4. Step 4: Simplify right side
    258.75x = 50,824.27
  5. Step 5: Solve for x
    x = 50,824.27/258.75
  6. Step 6: Final answer
    x = 196.42

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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.