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Finding the Fourth Proportional to 394.10, 591.06 and 120.19

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Solution

The fourth proportional to 394.10, 591.06 and 120.19 is: 180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.10 : 591.06 = 120.19 : x
  2. Step 2: Convert to fraction form
    394.10/591.06 = 120.19/x
  3. Step 3: Cross multiply
    394.10x = 591.06 × 120.19
  4. Step 4: Simplify right side
    394.10x = 71,039.50
  5. Step 5: Solve for x
    x = 71,039.50/394.10
  6. Step 6: Final answer
    x = 180.26

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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.