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Finding the Fourth Proportional to 276.36, 380.98 and 193.21

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Solution

The fourth proportional to 276.36, 380.98 and 193.21 is: 266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.36 : 380.98 = 193.21 : x
  2. Step 2: Convert to fraction form
    276.36/380.98 = 193.21/x
  3. Step 3: Cross multiply
    276.36x = 380.98 × 193.21
  4. Step 4: Simplify right side
    276.36x = 73,608.96
  5. Step 5: Solve for x
    x = 73,608.96/276.36
  6. Step 6: Final answer
    x = 266.35

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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.