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Finding the Fourth Proportional to 260.80, 359.94 and 148.81

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Solution

The fourth proportional to 260.80, 359.94 and 148.81 is: 205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.80 : 359.94 = 148.81 : x
  2. Step 2: Convert to fraction form
    260.80/359.94 = 148.81/x
  3. Step 3: Cross multiply
    260.80x = 359.94 × 148.81
  4. Step 4: Simplify right side
    260.80x = 53,561.24
  5. Step 5: Solve for x
    x = 53,561.24/260.80
  6. Step 6: Final answer
    x = 205.37

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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.