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Finding the Fourth Proportional to 254.80, 350.79 and 192.55

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Solution

The fourth proportional to 254.80, 350.79 and 192.55 is: 265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.80 : 350.79 = 192.55 : x
  2. Step 2: Convert to fraction form
    254.80/350.79 = 192.55/x
  3. Step 3: Cross multiply
    254.80x = 350.79 × 192.55
  4. Step 4: Simplify right side
    254.80x = 67,544.61
  5. Step 5: Solve for x
    x = 67,544.61/254.80
  6. Step 6: Final answer
    x = 265.09

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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.