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Finding the Fourth Proportional to 277.05, 382.04 and 198.35

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Solution

The fourth proportional to 277.05, 382.04 and 198.35 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.05 : 382.04 = 198.35 : x
  2. Step 2: Convert to fraction form
    277.05/382.04 = 198.35/x
  3. Step 3: Cross multiply
    277.05x = 382.04 × 198.35
  4. Step 4: Simplify right side
    277.05x = 75,776.64
  5. Step 5: Solve for x
    x = 75,776.64/277.05
  6. Step 6: Final answer
    x = 273.51

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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.