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Finding the Fourth Proportional to 278.28, 415.38 and 247.77

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Solution

The fourth proportional to 278.28, 415.38 and 247.77 is: 369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 415.38 = 247.77 : x
  2. Step 2: Convert to fraction form
    278.28/415.38 = 247.77/x
  3. Step 3: Cross multiply
    278.28x = 415.38 × 247.77
  4. Step 4: Simplify right side
    278.28x = 102,918.70
  5. Step 5: Solve for x
    x = 102,918.70/278.28
  6. Step 6: Final answer
    x = 369.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.