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Finding the Fourth Proportional to 257.90, 386.31 and 161.42

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Solution

The fourth proportional to 257.90, 386.31 and 161.42 is: 241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.90 : 386.31 = 161.42 : x
  2. Step 2: Convert to fraction form
    257.90/386.31 = 161.42/x
  3. Step 3: Cross multiply
    257.90x = 386.31 × 161.42
  4. Step 4: Simplify right side
    257.90x = 62,358.16
  5. Step 5: Solve for x
    x = 62,358.16/257.90
  6. Step 6: Final answer
    x = 241.79

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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.