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Finding the Fourth Proportional to 277.97, 418.49 and 243.95

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Solution

The fourth proportional to 277.97, 418.49 and 243.95 is: 367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 418.49 = 243.95 : x
  2. Step 2: Convert to fraction form
    277.97/418.49 = 243.95/x
  3. Step 3: Cross multiply
    277.97x = 418.49 × 243.95
  4. Step 4: Simplify right side
    277.97x = 102,090.64
  5. Step 5: Solve for x
    x = 102,090.64/277.97
  6. Step 6: Final answer
    x = 367.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.