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Finding the Fourth Proportional to 164.37, 226.80 and 94.42

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Solution

The fourth proportional to 164.37, 226.80 and 94.42 is: 130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.37 : 226.80 = 94.42 : x
  2. Step 2: Convert to fraction form
    164.37/226.80 = 94.42/x
  3. Step 3: Cross multiply
    164.37x = 226.80 × 94.42
  4. Step 4: Simplify right side
    164.37x = 21,414.46
  5. Step 5: Solve for x
    x = 21,414.46/164.37
  6. Step 6: Final answer
    x = 130.28

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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.