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Finding the Fourth Proportional to 393.94, 591.13 and 185.67

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Solution

The fourth proportional to 393.94, 591.13 and 185.67 is: 278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.94 : 591.13 = 185.67 : x
  2. Step 2: Convert to fraction form
    393.94/591.13 = 185.67/x
  3. Step 3: Cross multiply
    393.94x = 591.13 × 185.67
  4. Step 4: Simplify right side
    393.94x = 109,755.34
  5. Step 5: Solve for x
    x = 109,755.34/393.94
  6. Step 6: Final answer
    x = 278.61

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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.