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Finding the Fourth Proportional to 277.28, 382.24 and 194.13

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Solution

The fourth proportional to 277.28, 382.24 and 194.13 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.28 : 382.24 = 194.13 : x
  2. Step 2: Convert to fraction form
    277.28/382.24 = 194.13/x
  3. Step 3: Cross multiply
    277.28x = 382.24 × 194.13
  4. Step 4: Simplify right side
    277.28x = 74,204.49
  5. Step 5: Solve for x
    x = 74,204.49/277.28
  6. Step 6: Final answer
    x = 267.62

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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.