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Finding the Fourth Proportional to 286.12, 394.84 and 174.05

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Solution

The fourth proportional to 286.12, 394.84 and 174.05 is: 240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 394.84 = 174.05 : x
  2. Step 2: Convert to fraction form
    286.12/394.84 = 174.05/x
  3. Step 3: Cross multiply
    286.12x = 394.84 × 174.05
  4. Step 4: Simplify right side
    286.12x = 68,721.99
  5. Step 5: Solve for x
    x = 68,721.99/286.12
  6. Step 6: Final answer
    x = 240.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.