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Finding the Fourth Proportional to 257.23, 354.97 and 140.79

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Solution

The fourth proportional to 257.23, 354.97 and 140.79 is: 194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.23 : 354.97 = 140.79 : x
  2. Step 2: Convert to fraction form
    257.23/354.97 = 140.79/x
  3. Step 3: Cross multiply
    257.23x = 354.97 × 140.79
  4. Step 4: Simplify right side
    257.23x = 49,976.23
  5. Step 5: Solve for x
    x = 49,976.23/257.23
  6. Step 6: Final answer
    x = 194.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.