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Finding the Fourth Proportional to 257.42, 386.09 and 127.39

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Solution

The fourth proportional to 257.42, 386.09 and 127.39 is: 191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.42 : 386.09 = 127.39 : x
  2. Step 2: Convert to fraction form
    257.42/386.09 = 127.39/x
  3. Step 3: Cross multiply
    257.42x = 386.09 × 127.39
  4. Step 4: Simplify right side
    257.42x = 49,183.36
  5. Step 5: Solve for x
    x = 49,183.36/257.42
  6. Step 6: Final answer
    x = 191.06

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