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Finding the Fourth Proportional to 276.17, 380.92 and 175.19

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Solution

The fourth proportional to 276.17, 380.92 and 175.19 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.17 : 380.92 = 175.19 : x
  2. Step 2: Convert to fraction form
    276.17/380.92 = 175.19/x
  3. Step 3: Cross multiply
    276.17x = 380.92 × 175.19
  4. Step 4: Simplify right side
    276.17x = 66,733.56
  5. Step 5: Solve for x
    x = 66,733.56/276.17
  6. Step 6: Final answer
    x = 241.64

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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.