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Finding the Fourth Proportional to 348.36, 522.20 and 226.68

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Solution

The fourth proportional to 348.36, 522.20 and 226.68 is: 339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.36 : 522.20 = 226.68 : x
  2. Step 2: Convert to fraction form
    348.36/522.20 = 226.68/x
  3. Step 3: Cross multiply
    348.36x = 522.20 × 226.68
  4. Step 4: Simplify right side
    348.36x = 118,372.30
  5. Step 5: Solve for x
    x = 118,372.30/348.36
  6. Step 6: Final answer
    x = 339.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.