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Finding the Fourth Proportional to 316.38, 436.88 and 205.82

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Solution

The fourth proportional to 316.38, 436.88 and 205.82 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.38 : 436.88 = 205.82 : x
  2. Step 2: Convert to fraction form
    316.38/436.88 = 205.82/x
  3. Step 3: Cross multiply
    316.38x = 436.88 × 205.82
  4. Step 4: Simplify right side
    316.38x = 89,915.43
  5. Step 5: Solve for x
    x = 89,915.43/316.38
  6. Step 6: Final answer
    x = 284.20

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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.