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Finding the Fourth Proportional to 279.96, 386.52 and 180.43

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Solution

The fourth proportional to 279.96, 386.52 and 180.43 is: 249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.96 : 386.52 = 180.43 : x
  2. Step 2: Convert to fraction form
    279.96/386.52 = 180.43/x
  3. Step 3: Cross multiply
    279.96x = 386.52 × 180.43
  4. Step 4: Simplify right side
    279.96x = 69,739.51
  5. Step 5: Solve for x
    x = 69,739.51/279.96
  6. Step 6: Final answer
    x = 249.10

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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.