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Finding the Fourth Proportional to 164.42, 226.74 and 115.20

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Solution

The fourth proportional to 164.42, 226.74 and 115.20 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 226.74 = 115.20 : x
  2. Step 2: Convert to fraction form
    164.42/226.74 = 115.20/x
  3. Step 3: Cross multiply
    164.42x = 226.74 × 115.20
  4. Step 4: Simplify right side
    164.42x = 26,120.45
  5. Step 5: Solve for x
    x = 26,120.45/164.42
  6. Step 6: Final answer
    x = 158.87

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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.