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Finding the Fourth Proportional to 260.16, 359.03 and 149.75

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Solution

The fourth proportional to 260.16, 359.03 and 149.75 is: 206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 359.03 = 149.75 : x
  2. Step 2: Convert to fraction form
    260.16/359.03 = 149.75/x
  3. Step 3: Cross multiply
    260.16x = 359.03 × 149.75
  4. Step 4: Simplify right side
    260.16x = 53,764.67
  5. Step 5: Solve for x
    x = 53,764.67/260.16
  6. Step 6: Final answer
    x = 206.66

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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.