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Finding the Fourth Proportional to 277.63, 382.95 and 200.05

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Solution

The fourth proportional to 277.63, 382.95 and 200.05 is: 275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.63 : 382.95 = 200.05 : x
  2. Step 2: Convert to fraction form
    277.63/382.95 = 200.05/x
  3. Step 3: Cross multiply
    277.63x = 382.95 × 200.05
  4. Step 4: Simplify right side
    277.63x = 76,609.15
  5. Step 5: Solve for x
    x = 76,609.15/277.63
  6. Step 6: Final answer
    x = 275.94

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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.