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Finding the Fourth Proportional to 224.73, 309.72 and 162.36

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Solution

The fourth proportional to 224.73, 309.72 and 162.36 is: 223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.73 : 309.72 = 162.36 : x
  2. Step 2: Convert to fraction form
    224.73/309.72 = 162.36/x
  3. Step 3: Cross multiply
    224.73x = 309.72 × 162.36
  4. Step 4: Simplify right side
    224.73x = 50,286.14
  5. Step 5: Solve for x
    x = 50,286.14/224.73
  6. Step 6: Final answer
    x = 223.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.