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Finding the Fourth Proportional to 309.88, 428.02 and 226.86

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Solution

The fourth proportional to 309.88, 428.02 and 226.86 is: 313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 428.02 = 226.86 : x
  2. Step 2: Convert to fraction form
    309.88/428.02 = 226.86/x
  3. Step 3: Cross multiply
    309.88x = 428.02 × 226.86
  4. Step 4: Simplify right side
    309.88x = 97,100.62
  5. Step 5: Solve for x
    x = 97,100.62/309.88
  6. Step 6: Final answer
    x = 313.35

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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.