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Finding the Fourth Proportional to 277.49, 383.10 and 198.97

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Solution

The fourth proportional to 277.49, 383.10 and 198.97 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.49 : 383.10 = 198.97 : x
  2. Step 2: Convert to fraction form
    277.49/383.10 = 198.97/x
  3. Step 3: Cross multiply
    277.49x = 383.10 × 198.97
  4. Step 4: Simplify right side
    277.49x = 76,223.49
  5. Step 5: Solve for x
    x = 76,223.49/277.49
  6. Step 6: Final answer
    x = 274.69

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