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Finding the Fourth Proportional to 286.43, 395.27 and 175.92

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Solution

The fourth proportional to 286.43, 395.27 and 175.92 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.43 : 395.27 = 175.92 : x
  2. Step 2: Convert to fraction form
    286.43/395.27 = 175.92/x
  3. Step 3: Cross multiply
    286.43x = 395.27 × 175.92
  4. Step 4: Simplify right side
    286.43x = 69,535.02
  5. Step 5: Solve for x
    x = 69,535.02/286.43
  6. Step 6: Final answer
    x = 242.77

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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.