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Finding the Fourth Proportional to 164.64, 226.48 and 162.08

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Solution

The fourth proportional to 164.64, 226.48 and 162.08 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 226.48 = 162.08 : x
  2. Step 2: Convert to fraction form
    164.64/226.48 = 162.08/x
  3. Step 3: Cross multiply
    164.64x = 226.48 × 162.08
  4. Step 4: Simplify right side
    164.64x = 36,707.88
  5. Step 5: Solve for x
    x = 36,707.88/164.64
  6. Step 6: Final answer
    x = 222.96

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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.