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Finding the Fourth Proportional to 316.75, 436.92 and 185.74

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Solution

The fourth proportional to 316.75, 436.92 and 185.74 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.75 : 436.92 = 185.74 : x
  2. Step 2: Convert to fraction form
    316.75/436.92 = 185.74/x
  3. Step 3: Cross multiply
    316.75x = 436.92 × 185.74
  4. Step 4: Simplify right side
    316.75x = 81,153.52
  5. Step 5: Solve for x
    x = 81,153.52/316.75
  6. Step 6: Final answer
    x = 256.21

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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.