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Finding the Fourth Proportional to 260.32, 359.27 and 149.80

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Solution

The fourth proportional to 260.32, 359.27 and 149.80 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.32 : 359.27 = 149.80 : x
  2. Step 2: Convert to fraction form
    260.32/359.27 = 149.80/x
  3. Step 3: Cross multiply
    260.32x = 359.27 × 149.80
  4. Step 4: Simplify right side
    260.32x = 53,818.65
  5. Step 5: Solve for x
    x = 53,818.65/260.32
  6. Step 6: Final answer
    x = 206.74

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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.