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Finding the Fourth Proportional to 257.70, 386.54 and 180.44

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Solution

The fourth proportional to 257.70, 386.54 and 180.44 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.70 : 386.54 = 180.44 : x
  2. Step 2: Convert to fraction form
    257.70/386.54 = 180.44/x
  3. Step 3: Cross multiply
    257.70x = 386.54 × 180.44
  4. Step 4: Simplify right side
    257.70x = 69,747.28
  5. Step 5: Solve for x
    x = 69,747.28/257.70
  6. Step 6: Final answer
    x = 270.65

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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.