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Finding the Fourth Proportional to 286.89, 395.73 and 182.04

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Solution

The fourth proportional to 286.89, 395.73 and 182.04 is: 251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.89 : 395.73 = 182.04 : x
  2. Step 2: Convert to fraction form
    286.89/395.73 = 182.04/x
  3. Step 3: Cross multiply
    286.89x = 395.73 × 182.04
  4. Step 4: Simplify right side
    286.89x = 72,038.69
  5. Step 5: Solve for x
    x = 72,038.69/286.89
  6. Step 6: Final answer
    x = 251.10

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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.