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Finding the Fourth Proportional to 349.92, 482.84 and 198.50

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Solution

The fourth proportional to 349.92, 482.84 and 198.50 is: 273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.92 : 482.84 = 198.50 : x
  2. Step 2: Convert to fraction form
    349.92/482.84 = 198.50/x
  3. Step 3: Cross multiply
    349.92x = 482.84 × 198.50
  4. Step 4: Simplify right side
    349.92x = 95,843.74
  5. Step 5: Solve for x
    x = 95,843.74/349.92
  6. Step 6: Final answer
    x = 273.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.