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Finding the Fourth Proportional to 224.50, 309.54 and 182.97

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Solution

The fourth proportional to 224.50, 309.54 and 182.97 is: 252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.50 : 309.54 = 182.97 : x
  2. Step 2: Convert to fraction form
    224.50/309.54 = 182.97/x
  3. Step 3: Cross multiply
    224.50x = 309.54 × 182.97
  4. Step 4: Simplify right side
    224.50x = 56,634.99
  5. Step 5: Solve for x
    x = 56,634.99/224.50
  6. Step 6: Final answer
    x = 252.27

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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.