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Finding the Fourth Proportional to 286.32, 394.68 and 182.64

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Solution

The fourth proportional to 286.32, 394.68 and 182.64 is: 251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.32 : 394.68 = 182.64 : x
  2. Step 2: Convert to fraction form
    286.32/394.68 = 182.64/x
  3. Step 3: Cross multiply
    286.32x = 394.68 × 182.64
  4. Step 4: Simplify right side
    286.32x = 72,084.36
  5. Step 5: Solve for x
    x = 72,084.36/286.32
  6. Step 6: Final answer
    x = 251.76

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Why These Related Problems?

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