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Finding the Fourth Proportional to 164.24, 226.72 and 129.20

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Solution

The fourth proportional to 164.24, 226.72 and 129.20 is: 178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.24 : 226.72 = 129.20 : x
  2. Step 2: Convert to fraction form
    164.24/226.72 = 129.20/x
  3. Step 3: Cross multiply
    164.24x = 226.72 × 129.20
  4. Step 4: Simplify right side
    164.24x = 29,292.22
  5. Step 5: Solve for x
    x = 29,292.22/164.24
  6. Step 6: Final answer
    x = 178.35

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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.