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Finding the Fourth Proportional to 260.94, 391.59 and 225.66

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Solution

The fourth proportional to 260.94, 391.59 and 225.66 is: 338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 391.59 = 225.66 : x
  2. Step 2: Convert to fraction form
    260.94/391.59 = 225.66/x
  3. Step 3: Cross multiply
    260.94x = 391.59 × 225.66
  4. Step 4: Simplify right side
    260.94x = 88,366.20
  5. Step 5: Solve for x
    x = 88,366.20/260.94
  6. Step 6: Final answer
    x = 338.65

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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.