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Finding the Fourth Proportional to 279.02, 385.18 and 180.85

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Solution

The fourth proportional to 279.02, 385.18 and 180.85 is: 249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.02 : 385.18 = 180.85 : x
  2. Step 2: Convert to fraction form
    279.02/385.18 = 180.85/x
  3. Step 3: Cross multiply
    279.02x = 385.18 × 180.85
  4. Step 4: Simplify right side
    279.02x = 69,659.80
  5. Step 5: Solve for x
    x = 69,659.80/279.02
  6. Step 6: Final answer
    x = 249.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.