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Finding the Fourth Proportional to 260.41, 359.49 and 149.86

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Solution

The fourth proportional to 260.41, 359.49 and 149.86 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.41 : 359.49 = 149.86 : x
  2. Step 2: Convert to fraction form
    260.41/359.49 = 149.86/x
  3. Step 3: Cross multiply
    260.41x = 359.49 × 149.86
  4. Step 4: Simplify right side
    260.41x = 53,873.34
  5. Step 5: Solve for x
    x = 53,873.34/260.41
  6. Step 6: Final answer
    x = 206.88

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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.