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Finding the Fourth Proportional to 260.34, 359.27 and 149.84

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Solution

The fourth proportional to 260.34, 359.27 and 149.84 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.34 : 359.27 = 149.84 : x
  2. Step 2: Convert to fraction form
    260.34/359.27 = 149.84/x
  3. Step 3: Cross multiply
    260.34x = 359.27 × 149.84
  4. Step 4: Simplify right side
    260.34x = 53,832.27
  5. Step 5: Solve for x
    x = 53,832.27/260.34
  6. Step 6: Final answer
    x = 206.78

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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.