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Finding the Fourth Proportional to 279.82, 385.92 and 180.26

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Solution

The fourth proportional to 279.82, 385.92 and 180.26 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.82 : 385.92 = 180.26 : x
  2. Step 2: Convert to fraction form
    279.82/385.92 = 180.26/x
  3. Step 3: Cross multiply
    279.82x = 385.92 × 180.26
  4. Step 4: Simplify right side
    279.82x = 69,563.11
  5. Step 5: Solve for x
    x = 69,563.11/279.82
  6. Step 6: Final answer
    x = 248.60

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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.