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Finding the Fourth Proportional to 260.73, 390.79 and 116.35

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Solution

The fourth proportional to 260.73, 390.79 and 116.35 is: 174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.73 : 390.79 = 116.35 : x
  2. Step 2: Convert to fraction form
    260.73/390.79 = 116.35/x
  3. Step 3: Cross multiply
    260.73x = 390.79 × 116.35
  4. Step 4: Simplify right side
    260.73x = 45,467.58
  5. Step 5: Solve for x
    x = 45,467.58/260.73
  6. Step 6: Final answer
    x = 174.39

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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.