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Finding the Fourth Proportional to 260.23, 359.20 and 149.77

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Solution

The fourth proportional to 260.23, 359.20 and 149.77 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.23 : 359.20 = 149.77 : x
  2. Step 2: Convert to fraction form
    260.23/359.20 = 149.77/x
  3. Step 3: Cross multiply
    260.23x = 359.20 × 149.77
  4. Step 4: Simplify right side
    260.23x = 53,797.38
  5. Step 5: Solve for x
    x = 53,797.38/260.23
  6. Step 6: Final answer
    x = 206.73

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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.