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Finding the Fourth Proportional to 258.77, 357.11 and 142.33

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Solution

The fourth proportional to 258.77, 357.11 and 142.33 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.77 : 357.11 = 142.33 : x
  2. Step 2: Convert to fraction form
    258.77/357.11 = 142.33/x
  3. Step 3: Cross multiply
    258.77x = 357.11 × 142.33
  4. Step 4: Simplify right side
    258.77x = 50,827.47
  5. Step 5: Solve for x
    x = 50,827.47/258.77
  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.