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Finding the Fourth Proportional to 286.26, 395.02 and 175.78

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Solution

The fourth proportional to 286.26, 395.02 and 175.78 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 395.02 = 175.78 : x
  2. Step 2: Convert to fraction form
    286.26/395.02 = 175.78/x
  3. Step 3: Cross multiply
    286.26x = 395.02 × 175.78
  4. Step 4: Simplify right side
    286.26x = 69,436.62
  5. Step 5: Solve for x
    x = 69,436.62/286.26
  6. Step 6: Final answer
    x = 242.56

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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.