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Finding the Fourth Proportional to 316.27, 436.48 and 185.30

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Solution

The fourth proportional to 316.27, 436.48 and 185.30 is: 255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.27 : 436.48 = 185.30 : x
  2. Step 2: Convert to fraction form
    316.27/436.48 = 185.30/x
  3. Step 3: Cross multiply
    316.27x = 436.48 × 185.30
  4. Step 4: Simplify right side
    316.27x = 80,878.74
  5. Step 5: Solve for x
    x = 80,878.74/316.27
  6. Step 6: Final answer
    x = 255.73

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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.