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Finding the Fourth Proportional to 260.85, 389.46 and 234.93

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Solution

The fourth proportional to 260.85, 389.46 and 234.93 is: 350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.85 : 389.46 = 234.93 : x
  2. Step 2: Convert to fraction form
    260.85/389.46 = 234.93/x
  3. Step 3: Cross multiply
    260.85x = 389.46 × 234.93
  4. Step 4: Simplify right side
    260.85x = 91,495.84
  5. Step 5: Solve for x
    x = 91,495.84/260.85
  6. Step 6: Final answer
    x = 350.76

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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.