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Finding the Fourth Proportional to 180.25, 270.27 and 77.53

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Solution

The fourth proportional to 180.25, 270.27 and 77.53 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 270.27 = 77.53 : x
  2. Step 2: Convert to fraction form
    180.25/270.27 = 77.53/x
  3. Step 3: Cross multiply
    180.25x = 270.27 × 77.53
  4. Step 4: Simplify right side
    180.25x = 20,954.03
  5. Step 5: Solve for x
    x = 20,954.03/180.25
  6. Step 6: Final answer
    x = 116.25

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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.