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Finding the Fourth Proportional to 226.08, 338.52 and 171.88

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Solution

The fourth proportional to 226.08, 338.52 and 171.88 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.08 : 338.52 = 171.88 : x
  2. Step 2: Convert to fraction form
    226.08/338.52 = 171.88/x
  3. Step 3: Cross multiply
    226.08x = 338.52 × 171.88
  4. Step 4: Simplify right side
    226.08x = 58,184.82
  5. Step 5: Solve for x
    x = 58,184.82/226.08
  6. Step 6: Final answer
    x = 257.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.