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Finding the Fourth Proportional to 260.09, 358.92 and 149.59

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Solution

The fourth proportional to 260.09, 358.92 and 149.59 is: 206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.09 : 358.92 = 149.59 : x
  2. Step 2: Convert to fraction form
    260.09/358.92 = 149.59/x
  3. Step 3: Cross multiply
    260.09x = 358.92 × 149.59
  4. Step 4: Simplify right side
    260.09x = 53,691.85
  5. Step 5: Solve for x
    x = 53,691.85/260.09
  6. Step 6: Final answer
    x = 206.43

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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.