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Finding the Fourth Proportional to 276.48, 415.20 and 191.36

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Solution

The fourth proportional to 276.48, 415.20 and 191.36 is: 287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 415.20 = 191.36 : x
  2. Step 2: Convert to fraction form
    276.48/415.20 = 191.36/x
  3. Step 3: Cross multiply
    276.48x = 415.20 × 191.36
  4. Step 4: Simplify right side
    276.48x = 79,452.67
  5. Step 5: Solve for x
    x = 79,452.67/276.48
  6. Step 6: Final answer
    x = 287.37

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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.