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Finding the Fourth Proportional to 254.71, 350.94 and 180.91

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Solution

The fourth proportional to 254.71, 350.94 and 180.91 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.71 : 350.94 = 180.91 : x
  2. Step 2: Convert to fraction form
    254.71/350.94 = 180.91/x
  3. Step 3: Cross multiply
    254.71x = 350.94 × 180.91
  4. Step 4: Simplify right side
    254.71x = 63,488.56
  5. Step 5: Solve for x
    x = 63,488.56/254.71
  6. Step 6: Final answer
    x = 249.26

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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.