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Finding the Fourth Proportional to 316.12, 436.14 and 205.66

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Solution

The fourth proportional to 316.12, 436.14 and 205.66 is: 283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.12 : 436.14 = 205.66 : x
  2. Step 2: Convert to fraction form
    316.12/436.14 = 205.66/x
  3. Step 3: Cross multiply
    316.12x = 436.14 × 205.66
  4. Step 4: Simplify right side
    316.12x = 89,696.55
  5. Step 5: Solve for x
    x = 89,696.55/316.12
  6. Step 6: Final answer
    x = 283.74

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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.