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Finding the Fourth Proportional to 234.06, 348.67 and 226.88

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Solution

The fourth proportional to 234.06, 348.67 and 226.88 is: 337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.06 : 348.67 = 226.88 : x
  2. Step 2: Convert to fraction form
    234.06/348.67 = 226.88/x
  3. Step 3: Cross multiply
    234.06x = 348.67 × 226.88
  4. Step 4: Simplify right side
    234.06x = 79,108.06
  5. Step 5: Solve for x
    x = 79,108.06/234.06
  6. Step 6: Final answer
    x = 337.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.