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Finding the Fourth Proportional to 260.78, 391.16 and 78.23

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Solution

The fourth proportional to 260.78, 391.16 and 78.23 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 391.16 = 78.23 : x
  2. Step 2: Convert to fraction form
    260.78/391.16 = 78.23/x
  3. Step 3: Cross multiply
    260.78x = 391.16 × 78.23
  4. Step 4: Simplify right side
    260.78x = 30,601.62
  5. Step 5: Solve for x
    x = 30,601.62/260.78
  6. Step 6: Final answer
    x = 117.35

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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.