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Finding the Fourth Proportional to 257.43, 385.93 and 120.41

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Solution

The fourth proportional to 257.43, 385.93 and 120.41 is: 180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.43 : 385.93 = 120.41 : x
  2. Step 2: Convert to fraction form
    257.43/385.93 = 120.41/x
  3. Step 3: Cross multiply
    257.43x = 385.93 × 120.41
  4. Step 4: Simplify right side
    257.43x = 46,469.83
  5. Step 5: Solve for x
    x = 46,469.83/257.43
  6. Step 6: Final answer
    x = 180.51

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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.