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Finding the Fourth Proportional to 257.94, 386.82 and 142.43

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Solution

The fourth proportional to 257.94, 386.82 and 142.43 is: 213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 386.82 = 142.43 : x
  2. Step 2: Convert to fraction form
    257.94/386.82 = 142.43/x
  3. Step 3: Cross multiply
    257.94x = 386.82 × 142.43
  4. Step 4: Simplify right side
    257.94x = 55,092.84
  5. Step 5: Solve for x
    x = 55,092.84/257.94
  6. Step 6: Final answer
    x = 213.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.