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Finding the Fourth Proportional to 255.18, 352.27 and 199.82

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Solution

The fourth proportional to 255.18, 352.27 and 199.82 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.18 : 352.27 = 199.82 : x
  2. Step 2: Convert to fraction form
    255.18/352.27 = 199.82/x
  3. Step 3: Cross multiply
    255.18x = 352.27 × 199.82
  4. Step 4: Simplify right side
    255.18x = 70,390.59
  5. Step 5: Solve for x
    x = 70,390.59/255.18
  6. Step 6: Final answer
    x = 275.85

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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.