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Finding the Fourth Proportional to 277.03, 382.19 and 198.35

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Solution

The fourth proportional to 277.03, 382.19 and 198.35 is: 273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.03 : 382.19 = 198.35 : x
  2. Step 2: Convert to fraction form
    277.03/382.19 = 198.35/x
  3. Step 3: Cross multiply
    277.03x = 382.19 × 198.35
  4. Step 4: Simplify right side
    277.03x = 75,807.39
  5. Step 5: Solve for x
    x = 75,807.39/277.03
  6. Step 6: Final answer
    x = 273.64

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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.