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Finding the Fourth Proportional to 260.16, 388.34 and 229.41

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Solution

The fourth proportional to 260.16, 388.34 and 229.41 is: 342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 388.34 = 229.41 : x
  2. Step 2: Convert to fraction form
    260.16/388.34 = 229.41/x
  3. Step 3: Cross multiply
    260.16x = 388.34 × 229.41
  4. Step 4: Simplify right side
    260.16x = 89,085.99
  5. Step 5: Solve for x
    x = 89,085.99/260.16
  6. Step 6: Final answer
    x = 342.43

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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.