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Finding the Fourth Proportional to 260.88, 359.20 and 221.46

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Solution

The fourth proportional to 260.88, 359.20 and 221.46 is: 304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.88 : 359.20 = 221.46 : x
  2. Step 2: Convert to fraction form
    260.88/359.20 = 221.46/x
  3. Step 3: Cross multiply
    260.88x = 359.20 × 221.46
  4. Step 4: Simplify right side
    260.88x = 79,550.39
  5. Step 5: Solve for x
    x = 79,550.39/260.88
  6. Step 6: Final answer
    x = 304.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.