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Finding the Fourth Proportional to 319.80, 440.86 and 226.26

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Solution

The fourth proportional to 319.80, 440.86 and 226.26 is: 311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 440.86 = 226.26 : x
  2. Step 2: Convert to fraction form
    319.80/440.86 = 226.26/x
  3. Step 3: Cross multiply
    319.80x = 440.86 × 226.26
  4. Step 4: Simplify right side
    319.80x = 99,748.84
  5. Step 5: Solve for x
    x = 99,748.84/319.80
  6. Step 6: Final answer
    x = 311.91

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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.