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Finding the Fourth Proportional to 224.00, 309.22 and 162.14

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Solution

The fourth proportional to 224.00, 309.22 and 162.14 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.00 : 309.22 = 162.14 : x
  2. Step 2: Convert to fraction form
    224.00/309.22 = 162.14/x
  3. Step 3: Cross multiply
    224.00x = 309.22 × 162.14
  4. Step 4: Simplify right side
    224.00x = 50,134.98
  5. Step 5: Solve for x
    x = 50,134.98/224.00
  6. Step 6: Final answer
    x = 223.82

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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.