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Finding the Fourth Proportional to 348.85, 522.97 and 166.47

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Solution

The fourth proportional to 348.85, 522.97 and 166.47 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.85 : 522.97 = 166.47 : x
  2. Step 2: Convert to fraction form
    348.85/522.97 = 166.47/x
  3. Step 3: Cross multiply
    348.85x = 522.97 × 166.47
  4. Step 4: Simplify right side
    348.85x = 87,058.82
  5. Step 5: Solve for x
    x = 87,058.82/348.85
  6. Step 6: Final answer
    x = 249.56

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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.