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Finding the Fourth Proportional to 226.53, 312.46 and 179.82

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Solution

The fourth proportional to 226.53, 312.46 and 179.82 is: 248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 312.46 = 179.82 : x
  2. Step 2: Convert to fraction form
    226.53/312.46 = 179.82/x
  3. Step 3: Cross multiply
    226.53x = 312.46 × 179.82
  4. Step 4: Simplify right side
    226.53x = 56,187.43
  5. Step 5: Solve for x
    x = 56,187.43/226.53
  6. Step 6: Final answer
    x = 248.04

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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.