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Finding the Fourth Proportional to 180.45, 270.54 and 164.25

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Solution

The fourth proportional to 180.45, 270.54 and 164.25 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.45 : 270.54 = 164.25 : x
  2. Step 2: Convert to fraction form
    180.45/270.54 = 164.25/x
  3. Step 3: Cross multiply
    180.45x = 270.54 × 164.25
  4. Step 4: Simplify right side
    180.45x = 44,436.20
  5. Step 5: Solve for x
    x = 44,436.20/180.45
  6. Step 6: Final answer
    x = 246.25

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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.