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Finding the Fourth Proportional to 348.98, 523.77 and 194.67

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Solution

The fourth proportional to 348.98, 523.77 and 194.67 is: 292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.98 : 523.77 = 194.67 : x
  2. Step 2: Convert to fraction form
    348.98/523.77 = 194.67/x
  3. Step 3: Cross multiply
    348.98x = 523.77 × 194.67
  4. Step 4: Simplify right side
    348.98x = 101,962.31
  5. Step 5: Solve for x
    x = 101,962.31/348.98
  6. Step 6: Final answer
    x = 292.18

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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.