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Finding the Fourth Proportional to 276.85, 414.71 and 173.84

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Solution

The fourth proportional to 276.85, 414.71 and 173.84 is: 260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.85 : 414.71 = 173.84 : x
  2. Step 2: Convert to fraction form
    276.85/414.71 = 173.84/x
  3. Step 3: Cross multiply
    276.85x = 414.71 × 173.84
  4. Step 4: Simplify right side
    276.85x = 72,092.32
  5. Step 5: Solve for x
    x = 72,092.32/276.85
  6. Step 6: Final answer
    x = 260.41

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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.