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Finding the Fourth Proportional to 277.52, 382.44 and 199.76

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Solution

The fourth proportional to 277.52, 382.44 and 199.76 is: 275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 382.44 = 199.76 : x
  2. Step 2: Convert to fraction form
    277.52/382.44 = 199.76/x
  3. Step 3: Cross multiply
    277.52x = 382.44 × 199.76
  4. Step 4: Simplify right side
    277.52x = 76,396.21
  5. Step 5: Solve for x
    x = 76,396.21/277.52
  6. Step 6: Final answer
    x = 275.28

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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.