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Finding the Fourth Proportional to 276.78, 382.01 and 194.01

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Solution

The fourth proportional to 276.78, 382.01 and 194.01 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.78 : 382.01 = 194.01 : x
  2. Step 2: Convert to fraction form
    276.78/382.01 = 194.01/x
  3. Step 3: Cross multiply
    276.78x = 382.01 × 194.01
  4. Step 4: Simplify right side
    276.78x = 74,113.76
  5. Step 5: Solve for x
    x = 74,113.76/276.78
  6. Step 6: Final answer
    x = 267.77

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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.