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Finding the Fourth Proportional to 224.49, 308.46 and 182.94

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Solution

The fourth proportional to 224.49, 308.46 and 182.94 is: 251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.49 : 308.46 = 182.94 : x
  2. Step 2: Convert to fraction form
    224.49/308.46 = 182.94/x
  3. Step 3: Cross multiply
    224.49x = 308.46 × 182.94
  4. Step 4: Simplify right side
    224.49x = 56,429.67
  5. Step 5: Solve for x
    x = 56,429.67/224.49
  6. Step 6: Final answer
    x = 251.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.