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Finding the Fourth Proportional to 253.92, 349.70 and 198.84

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Solution

The fourth proportional to 253.92, 349.70 and 198.84 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 349.70 = 198.84 : x
  2. Step 2: Convert to fraction form
    253.92/349.70 = 198.84/x
  3. Step 3: Cross multiply
    253.92x = 349.70 × 198.84
  4. Step 4: Simplify right side
    253.92x = 69,534.35
  5. Step 5: Solve for x
    x = 69,534.35/253.92
  6. Step 6: Final answer
    x = 273.84

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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.