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Finding the Fourth Proportional to 260.52, 359.46 and 149.94

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Solution

The fourth proportional to 260.52, 359.46 and 149.94 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.52 : 359.46 = 149.94 : x
  2. Step 2: Convert to fraction form
    260.52/359.46 = 149.94/x
  3. Step 3: Cross multiply
    260.52x = 359.46 × 149.94
  4. Step 4: Simplify right side
    260.52x = 53,897.43
  5. Step 5: Solve for x
    x = 53,897.43/260.52
  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.