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Finding the Fourth Proportional to 286.85, 395.86 and 155.86

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Solution

The fourth proportional to 286.85, 395.86 and 155.86 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.85 : 395.86 = 155.86 : x
  2. Step 2: Convert to fraction form
    286.85/395.86 = 155.86/x
  3. Step 3: Cross multiply
    286.85x = 395.86 × 155.86
  4. Step 4: Simplify right side
    286.85x = 61,697.81
  5. Step 5: Solve for x
    x = 61,697.81/286.85
  6. Step 6: Final answer
    x = 215.09

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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.