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Finding the Fourth Proportional to 276.94, 414.63 and 173.97

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Solution

The fourth proportional to 276.94, 414.63 and 173.97 is: 260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 414.63 = 173.97 : x
  2. Step 2: Convert to fraction form
    276.94/414.63 = 173.97/x
  3. Step 3: Cross multiply
    276.94x = 414.63 × 173.97
  4. Step 4: Simplify right side
    276.94x = 72,133.18
  5. Step 5: Solve for x
    x = 72,133.18/276.94
  6. Step 6: Final answer
    x = 260.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.