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Finding the Fourth Proportional to 277.20, 381.96 and 194.40

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Solution

The fourth proportional to 277.20, 381.96 and 194.40 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.20 : 381.96 = 194.40 : x
  2. Step 2: Convert to fraction form
    277.20/381.96 = 194.40/x
  3. Step 3: Cross multiply
    277.20x = 381.96 × 194.40
  4. Step 4: Simplify right side
    277.20x = 74,253.02
  5. Step 5: Solve for x
    x = 74,253.02/277.20
  6. Step 6: Final answer
    x = 267.87

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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.