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Finding the Fourth Proportional to 316.45, 436.63 and 185.42

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Solution

The fourth proportional to 316.45, 436.63 and 185.42 is: 255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.45 : 436.63 = 185.42 : x
  2. Step 2: Convert to fraction form
    316.45/436.63 = 185.42/x
  3. Step 3: Cross multiply
    316.45x = 436.63 × 185.42
  4. Step 4: Simplify right side
    316.45x = 80,959.93
  5. Step 5: Solve for x
    x = 80,959.93/316.45
  6. Step 6: Final answer
    x = 255.84

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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.