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Finding the Fourth Proportional to 226.24, 312.36 and 142.25

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Solution

The fourth proportional to 226.24, 312.36 and 142.25 is: 196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.24 : 312.36 = 142.25 : x
  2. Step 2: Convert to fraction form
    226.24/312.36 = 142.25/x
  3. Step 3: Cross multiply
    226.24x = 312.36 × 142.25
  4. Step 4: Simplify right side
    226.24x = 44,430.94
  5. Step 5: Solve for x
    x = 44,430.94/226.24
  6. Step 6: Final answer
    x = 196.39

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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.