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Finding the Fourth Proportional to 254.33, 350.84 and 175.73

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Solution

The fourth proportional to 254.33, 350.84 and 175.73 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.33 : 350.84 = 175.73 : x
  2. Step 2: Convert to fraction form
    254.33/350.84 = 175.73/x
  3. Step 3: Cross multiply
    254.33x = 350.84 × 175.73
  4. Step 4: Simplify right side
    254.33x = 61,651.80
  5. Step 5: Solve for x
    x = 61,651.80/254.33
  6. Step 6: Final answer
    x = 242.41

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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.