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Finding the Fourth Proportional to 164.16, 226.32 and 120.48

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Solution

The fourth proportional to 164.16, 226.32 and 120.48 is: 166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 226.32 = 120.48 : x
  2. Step 2: Convert to fraction form
    164.16/226.32 = 120.48/x
  3. Step 3: Cross multiply
    164.16x = 226.32 × 120.48
  4. Step 4: Simplify right side
    164.16x = 27,267.03
  5. Step 5: Solve for x
    x = 27,267.03/164.16
  6. Step 6: Final answer
    x = 166.10

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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.