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Finding the Fourth Proportional to 316.14, 436.29 and 185.13

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Solution

The fourth proportional to 316.14, 436.29 and 185.13 is: 255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.14 : 436.29 = 185.13 : x
  2. Step 2: Convert to fraction form
    316.14/436.29 = 185.13/x
  3. Step 3: Cross multiply
    316.14x = 436.29 × 185.13
  4. Step 4: Simplify right side
    316.14x = 80,770.37
  5. Step 5: Solve for x
    x = 80,770.37/316.14
  6. Step 6: Final answer
    x = 255.49

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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.