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Finding the Fourth Proportional to 164.04, 226.13 and 136.37

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Solution

The fourth proportional to 164.04, 226.13 and 136.37 is: 187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.04 : 226.13 = 136.37 : x
  2. Step 2: Convert to fraction form
    164.04/226.13 = 136.37/x
  3. Step 3: Cross multiply
    164.04x = 226.13 × 136.37
  4. Step 4: Simplify right side
    164.04x = 30,835.54
  5. Step 5: Solve for x
    x = 30,835.54/164.04
  6. Step 6: Final answer
    x = 187.98

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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.