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Finding the Fourth Proportional to 348.33, 522.26 and 174.85

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Solution

The fourth proportional to 348.33, 522.26 and 174.85 is: 262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.33 : 522.26 = 174.85 : x
  2. Step 2: Convert to fraction form
    348.33/522.26 = 174.85/x
  3. Step 3: Cross multiply
    348.33x = 522.26 × 174.85
  4. Step 4: Simplify right side
    348.33x = 91,315.15
  5. Step 5: Solve for x
    x = 91,315.15/348.33
  6. Step 6: Final answer
    x = 262.15

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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.