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Finding the Fourth Proportional to 308.12, 425 and 191.74

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Solution

The fourth proportional to 308.12, 425 and 191.74 is: 264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.12 : 425 = 191.74 : x
  2. Step 2: Convert to fraction form
    308.12/425 = 191.74/x
  3. Step 3: Cross multiply
    308.12x = 425 × 191.74
  4. Step 4: Simplify right side
    308.12x = 81,489.50
  5. Step 5: Solve for x
    x = 81,489.50/308.12
  6. Step 6: Final answer
    x = 264.47

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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.