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Finding the Fourth Proportional to 164.18, 226.58 and 94.25

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Solution

The fourth proportional to 164.18, 226.58 and 94.25 is: 130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.18 : 226.58 = 94.25 : x
  2. Step 2: Convert to fraction form
    164.18/226.58 = 94.25/x
  3. Step 3: Cross multiply
    164.18x = 226.58 × 94.25
  4. Step 4: Simplify right side
    164.18x = 21,355.17
  5. Step 5: Solve for x
    x = 21,355.17/164.18
  6. Step 6: Final answer
    x = 130.07

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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.