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Finding the Fourth Proportional to 164.44, 226.37 and 127.53

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Solution

The fourth proportional to 164.44, 226.37 and 127.53 is: 175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.44 : 226.37 = 127.53 : x
  2. Step 2: Convert to fraction form
    164.44/226.37 = 127.53/x
  3. Step 3: Cross multiply
    164.44x = 226.37 × 127.53
  4. Step 4: Simplify right side
    164.44x = 28,868.97
  5. Step 5: Solve for x
    x = 28,868.97/164.44
  6. Step 6: Final answer
    x = 175.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.