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Finding the Fourth Proportional to 286.38, 395.25 and 175.86

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Solution

The fourth proportional to 286.38, 395.25 and 175.86 is: 242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.38 : 395.25 = 175.86 : x
  2. Step 2: Convert to fraction form
    286.38/395.25 = 175.86/x
  3. Step 3: Cross multiply
    286.38x = 395.25 × 175.86
  4. Step 4: Simplify right side
    286.38x = 69,508.67
  5. Step 5: Solve for x
    x = 69,508.67/286.38
  6. Step 6: Final answer
    x = 242.71

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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.