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Finding the Fourth Proportional to 180.57, 270.18 and 170.31

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Solution

The fourth proportional to 180.57, 270.18 and 170.31 is: 254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.57 : 270.18 = 170.31 : x
  2. Step 2: Convert to fraction form
    180.57/270.18 = 170.31/x
  3. Step 3: Cross multiply
    180.57x = 270.18 × 170.31
  4. Step 4: Simplify right side
    180.57x = 46,014.36
  5. Step 5: Solve for x
    x = 46,014.36/180.57
  6. Step 6: Final answer
    x = 254.83

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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.