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Finding the Fourth Proportional to 355, 532.46 and 193

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Solution

The fourth proportional to 355, 532.46 and 193 is: 289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355 : 532.46 = 193 : x
  2. Step 2: Convert to fraction form
    355/532.46 = 193/x
  3. Step 3: Cross multiply
    355x = 532.46 × 193
  4. Step 4: Simplify right side
    355x = 102,764.78
  5. Step 5: Solve for x
    x = 102,764.78/355
  6. Step 6: Final answer
    x = 289.48

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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.