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Finding the Fourth Proportional to 164.63, 227.34 and 137.19

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Solution

The fourth proportional to 164.63, 227.34 and 137.19 is: 189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 227.34 = 137.19 : x
  2. Step 2: Convert to fraction form
    164.63/227.34 = 137.19/x
  3. Step 3: Cross multiply
    164.63x = 227.34 × 137.19
  4. Step 4: Simplify right side
    164.63x = 31,189.63
  5. Step 5: Solve for x
    x = 31,189.63/164.63
  6. Step 6: Final answer
    x = 189.45

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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.