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Finding the Fourth Proportional to 260.82, 391.38 and 123.93

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Solution

The fourth proportional to 260.82, 391.38 and 123.93 is: 185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.82 : 391.38 = 123.93 : x
  2. Step 2: Convert to fraction form
    260.82/391.38 = 123.93/x
  3. Step 3: Cross multiply
    260.82x = 391.38 × 123.93
  4. Step 4: Simplify right side
    260.82x = 48,503.72
  5. Step 5: Solve for x
    x = 48,503.72/260.82
  6. Step 6: Final answer
    x = 185.97

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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.