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Finding the Fourth Proportional to 226.02, 311.81 and 141.96

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Solution

The fourth proportional to 226.02, 311.81 and 141.96 is: 195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.02 : 311.81 = 141.96 : x
  2. Step 2: Convert to fraction form
    226.02/311.81 = 141.96/x
  3. Step 3: Cross multiply
    226.02x = 311.81 × 141.96
  4. Step 4: Simplify right side
    226.02x = 44,263.84
  5. Step 5: Solve for x
    x = 44,263.84/226.02
  6. Step 6: Final answer
    x = 195.84

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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.