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Finding the Fourth Proportional to 257.96, 386.87 and 142.39

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Solution

The fourth proportional to 257.96, 386.87 and 142.39 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 386.87 = 142.39 : x
  2. Step 2: Convert to fraction form
    257.96/386.87 = 142.39/x
  3. Step 3: Cross multiply
    257.96x = 386.87 × 142.39
  4. Step 4: Simplify right side
    257.96x = 55,084.13
  5. Step 5: Solve for x
    x = 55,084.13/257.96
  6. Step 6: Final answer
    x = 213.54

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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.