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Finding the Fourth Proportional to 279.25, 385.63 and 179.82

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Solution

The fourth proportional to 279.25, 385.63 and 179.82 is: 248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.25 : 385.63 = 179.82 : x
  2. Step 2: Convert to fraction form
    279.25/385.63 = 179.82/x
  3. Step 3: Cross multiply
    279.25x = 385.63 × 179.82
  4. Step 4: Simplify right side
    279.25x = 69,343.54
  5. Step 5: Solve for x
    x = 69,343.54/279.25
  6. Step 6: Final answer
    x = 248.32

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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.