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Finding the Fourth Proportional to 394.85, 592.27 and 120.94

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Solution

The fourth proportional to 394.85, 592.27 and 120.94 is: 181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.85 : 592.27 = 120.94 : x
  2. Step 2: Convert to fraction form
    394.85/592.27 = 120.94/x
  3. Step 3: Cross multiply
    394.85x = 592.27 × 120.94
  4. Step 4: Simplify right side
    394.85x = 71,627.35
  5. Step 5: Solve for x
    x = 71,627.35/394.85
  6. Step 6: Final answer
    x = 181.40

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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.