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Finding the Fourth Proportional to 225.56, 338.12 and 115.84

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Solution

The fourth proportional to 225.56, 338.12 and 115.84 is: 173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 338.12 = 115.84 : x
  2. Step 2: Convert to fraction form
    225.56/338.12 = 115.84/x
  3. Step 3: Cross multiply
    225.56x = 338.12 × 115.84
  4. Step 4: Simplify right side
    225.56x = 39,167.82
  5. Step 5: Solve for x
    x = 39,167.82/225.56
  6. Step 6: Final answer
    x = 173.65

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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.