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Finding the Fourth Proportional to 164.08, 225.14 and 163.60

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Solution

The fourth proportional to 164.08, 225.14 and 163.60 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.08 : 225.14 = 163.60 : x
  2. Step 2: Convert to fraction form
    164.08/225.14 = 163.60/x
  3. Step 3: Cross multiply
    164.08x = 225.14 × 163.60
  4. Step 4: Simplify right side
    164.08x = 36,832.90
  5. Step 5: Solve for x
    x = 36,832.90/164.08
  6. Step 6: Final answer
    x = 224.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.