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Finding the Fourth Proportional to 257.85, 386.91 and 103.77

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Solution

The fourth proportional to 257.85, 386.91 and 103.77 is: 155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.85 : 386.91 = 103.77 : x
  2. Step 2: Convert to fraction form
    257.85/386.91 = 103.77/x
  3. Step 3: Cross multiply
    257.85x = 386.91 × 103.77
  4. Step 4: Simplify right side
    257.85x = 40,149.65
  5. Step 5: Solve for x
    x = 40,149.65/257.85
  6. Step 6: Final answer
    x = 155.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.