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Finding the Fourth Proportional to 348.26, 522.05 and 174.67

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Solution

The fourth proportional to 348.26, 522.05 and 174.67 is: 261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 522.05 = 174.67 : x
  2. Step 2: Convert to fraction form
    348.26/522.05 = 174.67/x
  3. Step 3: Cross multiply
    348.26x = 522.05 × 174.67
  4. Step 4: Simplify right side
    348.26x = 91,185.61
  5. Step 5: Solve for x
    x = 91,185.61/348.26
  6. Step 6: Final answer
    x = 261.83

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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.