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Finding the Fourth Proportional to 164.49, 226.90 and 138.30

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Solution

The fourth proportional to 164.49, 226.90 and 138.30 is: 190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.49 : 226.90 = 138.30 : x
  2. Step 2: Convert to fraction form
    164.49/226.90 = 138.30/x
  3. Step 3: Cross multiply
    164.49x = 226.90 × 138.30
  4. Step 4: Simplify right side
    164.49x = 31,380.27
  5. Step 5: Solve for x
    x = 31,380.27/164.49
  6. Step 6: Final answer
    x = 190.77

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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.