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Finding the Fourth Proportional to 348.28, 522.11 and 174.70

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Solution

The fourth proportional to 348.28, 522.11 and 174.70 is: 261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.28 : 522.11 = 174.70 : x
  2. Step 2: Convert to fraction form
    348.28/522.11 = 174.70/x
  3. Step 3: Cross multiply
    348.28x = 522.11 × 174.70
  4. Step 4: Simplify right side
    348.28x = 91,212.62
  5. Step 5: Solve for x
    x = 91,212.62/348.28
  6. Step 6: Final answer
    x = 261.90

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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.