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Finding the Fourth Proportional to 226.50, 312 and 182.76

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Solution

The fourth proportional to 226.50, 312 and 182.76 is: 251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 312 = 182.76 : x
  2. Step 2: Convert to fraction form
    226.50/312 = 182.76/x
  3. Step 3: Cross multiply
    226.50x = 312 × 182.76
  4. Step 4: Simplify right side
    226.50x = 57,021.12
  5. Step 5: Solve for x
    x = 57,021.12/226.50
  6. Step 6: Final answer
    x = 251.75

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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.