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Finding the Fourth Proportional to 226.10, 311.68 and 176.90

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Solution

The fourth proportional to 226.10, 311.68 and 176.90 is: 243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 311.68 = 176.90 : x
  2. Step 2: Convert to fraction form
    226.10/311.68 = 176.90/x
  3. Step 3: Cross multiply
    226.10x = 311.68 × 176.90
  4. Step 4: Simplify right side
    226.10x = 55,134.85
  5. Step 5: Solve for x
    x = 55,134.85/226.10
  6. Step 6: Final answer
    x = 243.85

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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.