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Finding the Fourth Proportional to 276.97, 382.10 and 172.03

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Solution

The fourth proportional to 276.97, 382.10 and 172.03 is: 237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.97 : 382.10 = 172.03 : x
  2. Step 2: Convert to fraction form
    276.97/382.10 = 172.03/x
  3. Step 3: Cross multiply
    276.97x = 382.10 × 172.03
  4. Step 4: Simplify right side
    276.97x = 65,730.85
  5. Step 5: Solve for x
    x = 65,730.85/276.97
  6. Step 6: Final answer
    x = 237.32

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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.