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Finding the Fourth Proportional to 279.14, 385.31 and 180.93

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Solution

The fourth proportional to 279.14, 385.31 and 180.93 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 385.31 = 180.93 : x
  2. Step 2: Convert to fraction form
    279.14/385.31 = 180.93/x
  3. Step 3: Cross multiply
    279.14x = 385.31 × 180.93
  4. Step 4: Simplify right side
    279.14x = 69,714.14
  5. Step 5: Solve for x
    x = 69,714.14/279.14
  6. Step 6: Final answer
    x = 249.75

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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.