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Finding the Fourth Proportional to 164.14, 226.04 and 140.64

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Solution

The fourth proportional to 164.14, 226.04 and 140.64 is: 193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.14 : 226.04 = 140.64 : x
  2. Step 2: Convert to fraction form
    164.14/226.04 = 140.64/x
  3. Step 3: Cross multiply
    164.14x = 226.04 × 140.64
  4. Step 4: Simplify right side
    164.14x = 31,790.27
  5. Step 5: Solve for x
    x = 31,790.27/164.14
  6. Step 6: Final answer
    x = 193.68

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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.