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Finding the Fourth Proportional to 260.70, 389.16 and 234.60

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Solution

The fourth proportional to 260.70, 389.16 and 234.60 is: 350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 389.16 = 234.60 : x
  2. Step 2: Convert to fraction form
    260.70/389.16 = 234.60/x
  3. Step 3: Cross multiply
    260.70x = 389.16 × 234.60
  4. Step 4: Simplify right side
    260.70x = 91,296.94
  5. Step 5: Solve for x
    x = 91,296.94/260.70
  6. Step 6: Final answer
    x = 350.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.