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Finding the Fourth Proportional to 279.88, 386.42 and 180.46

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Solution

The fourth proportional to 279.88, 386.42 and 180.46 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 386.42 = 180.46 : x
  2. Step 2: Convert to fraction form
    279.88/386.42 = 180.46/x
  3. Step 3: Cross multiply
    279.88x = 386.42 × 180.46
  4. Step 4: Simplify right side
    279.88x = 69,733.35
  5. Step 5: Solve for x
    x = 69,733.35/279.88
  6. Step 6: Final answer
    x = 249.15

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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.