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Finding the Fourth Proportional to 230.56, 346.17 and 225.56

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Solution

The fourth proportional to 230.56, 346.17 and 225.56 is: 338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.56 : 346.17 = 225.56 : x
  2. Step 2: Convert to fraction form
    230.56/346.17 = 225.56/x
  3. Step 3: Cross multiply
    230.56x = 346.17 × 225.56
  4. Step 4: Simplify right side
    230.56x = 78,082.11
  5. Step 5: Solve for x
    x = 78,082.11/230.56
  6. Step 6: Final answer
    x = 338.66

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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.