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Finding the Fourth Proportional to 394.76, 591.66 and 137.96

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Solution

The fourth proportional to 394.76, 591.66 and 137.96 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.76 : 591.66 = 137.96 : x
  2. Step 2: Convert to fraction form
    394.76/591.66 = 137.96/x
  3. Step 3: Cross multiply
    394.76x = 591.66 × 137.96
  4. Step 4: Simplify right side
    394.76x = 81,625.41
  5. Step 5: Solve for x
    x = 81,625.41/394.76
  6. Step 6: Final answer
    x = 206.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.