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Finding the Fourth Proportional to 224.06, 309.59 and 162.09

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Solution

The fourth proportional to 224.06, 309.59 and 162.09 is: 223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.06 : 309.59 = 162.09 : x
  2. Step 2: Convert to fraction form
    224.06/309.59 = 162.09/x
  3. Step 3: Cross multiply
    224.06x = 309.59 × 162.09
  4. Step 4: Simplify right side
    224.06x = 50,180.63
  5. Step 5: Solve for x
    x = 50,180.63/224.06
  6. Step 6: Final answer
    x = 223.97

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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.