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Finding the Fourth Proportional to 286.14, 394.95 and 169.74

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Solution

The fourth proportional to 286.14, 394.95 and 169.74 is: 234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.14 : 394.95 = 169.74 : x
  2. Step 2: Convert to fraction form
    286.14/394.95 = 169.74/x
  3. Step 3: Cross multiply
    286.14x = 394.95 × 169.74
  4. Step 4: Simplify right side
    286.14x = 67,038.81
  5. Step 5: Solve for x
    x = 67,038.81/286.14
  6. Step 6: Final answer
    x = 234.29

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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.