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Finding the Fourth Proportional to 276.94, 415.25 and 114.74

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Solution

The fourth proportional to 276.94, 415.25 and 114.74 is: 172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 415.25 = 114.74 : x
  2. Step 2: Convert to fraction form
    276.94/415.25 = 114.74/x
  3. Step 3: Cross multiply
    276.94x = 415.25 × 114.74
  4. Step 4: Simplify right side
    276.94x = 47,645.79
  5. Step 5: Solve for x
    x = 47,645.79/276.94
  6. Step 6: Final answer
    x = 172.04

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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.