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Finding the Fourth Proportional to 316.25, 436.21 and 205.82

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Solution

The fourth proportional to 316.25, 436.21 and 205.82 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.25 : 436.21 = 205.82 : x
  2. Step 2: Convert to fraction form
    316.25/436.21 = 205.82/x
  3. Step 3: Cross multiply
    316.25x = 436.21 × 205.82
  4. Step 4: Simplify right side
    316.25x = 89,778.05
  5. Step 5: Solve for x
    x = 89,778.05/316.25
  6. Step 6: Final answer
    x = 283.89

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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.