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Finding the Fourth Proportional to 278.97, 418.22 and 116.77

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Solution

The fourth proportional to 278.97, 418.22 and 116.77 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 418.22 = 116.77 : x
  2. Step 2: Convert to fraction form
    278.97/418.22 = 116.77/x
  3. Step 3: Cross multiply
    278.97x = 418.22 × 116.77
  4. Step 4: Simplify right side
    278.97x = 48,835.55
  5. Step 5: Solve for x
    x = 48,835.55/278.97
  6. Step 6: Final answer
    x = 175.06

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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.