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Finding the Fourth Proportional to 254.74, 350.88 and 180.92

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Solution

The fourth proportional to 254.74, 350.88 and 180.92 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.74 : 350.88 = 180.92 : x
  2. Step 2: Convert to fraction form
    254.74/350.88 = 180.92/x
  3. Step 3: Cross multiply
    254.74x = 350.88 × 180.92
  4. Step 4: Simplify right side
    254.74x = 63,481.21
  5. Step 5: Solve for x
    x = 63,481.21/254.74
  6. Step 6: Final answer
    x = 249.20

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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.