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Finding the Fourth Proportional to 260.35, 389.38 and 231.66

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Solution

The fourth proportional to 260.35, 389.38 and 231.66 is: 346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.35 : 389.38 = 231.66 : x
  2. Step 2: Convert to fraction form
    260.35/389.38 = 231.66/x
  3. Step 3: Cross multiply
    260.35x = 389.38 × 231.66
  4. Step 4: Simplify right side
    260.35x = 90,203.77
  5. Step 5: Solve for x
    x = 90,203.77/260.35
  6. Step 6: Final answer
    x = 346.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.