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Finding the Fourth Proportional to 225.56, 338.20 and 187.27

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Solution

The fourth proportional to 225.56, 338.20 and 187.27 is: 280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 338.20 = 187.27 : x
  2. Step 2: Convert to fraction form
    225.56/338.20 = 187.27/x
  3. Step 3: Cross multiply
    225.56x = 338.20 × 187.27
  4. Step 4: Simplify right side
    225.56x = 63,334.71
  5. Step 5: Solve for x
    x = 63,334.71/225.56
  6. Step 6: Final answer
    x = 280.79

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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.