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Finding the Fourth Proportional to 394.11, 591.22 and 120.13

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Solution

The fourth proportional to 394.11, 591.22 and 120.13 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.11 : 591.22 = 120.13 : x
  2. Step 2: Convert to fraction form
    394.11/591.22 = 120.13/x
  3. Step 3: Cross multiply
    394.11x = 591.22 × 120.13
  4. Step 4: Simplify right side
    394.11x = 71,025.04
  5. Step 5: Solve for x
    x = 71,025.04/394.11
  6. Step 6: Final answer
    x = 180.22

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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.