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Finding the Fourth Proportional to 164.72, 226.94 and 129.35

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Solution

The fourth proportional to 164.72, 226.94 and 129.35 is: 178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.72 : 226.94 = 129.35 : x
  2. Step 2: Convert to fraction form
    164.72/226.94 = 129.35/x
  3. Step 3: Cross multiply
    164.72x = 226.94 × 129.35
  4. Step 4: Simplify right side
    164.72x = 29,354.61
  5. Step 5: Solve for x
    x = 29,354.61/164.72
  6. Step 6: Final answer
    x = 178.21

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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.