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Finding the Fourth Proportional to 257.44, 386.16 and 120.41

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Solution

The fourth proportional to 257.44, 386.16 and 120.41 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 386.16 = 120.41 : x
  2. Step 2: Convert to fraction form
    257.44/386.16 = 120.41/x
  3. Step 3: Cross multiply
    257.44x = 386.16 × 120.41
  4. Step 4: Simplify right side
    257.44x = 46,497.53
  5. Step 5: Solve for x
    x = 46,497.53/257.44
  6. Step 6: Final answer
    x = 180.62

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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.