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Finding the Fourth Proportional to 277.04, 382.14 and 198.20

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Solution

The fourth proportional to 277.04, 382.14 and 198.20 is: 273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.04 : 382.14 = 198.20 : x
  2. Step 2: Convert to fraction form
    277.04/382.14 = 198.20/x
  3. Step 3: Cross multiply
    277.04x = 382.14 × 198.20
  4. Step 4: Simplify right side
    277.04x = 75,740.15
  5. Step 5: Solve for x
    x = 75,740.15/277.04
  6. Step 6: Final answer
    x = 273.39

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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.