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Finding the Fourth Proportional to 260.68, 359.75 and 142.66

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Solution

The fourth proportional to 260.68, 359.75 and 142.66 is: 196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.68 : 359.75 = 142.66 : x
  2. Step 2: Convert to fraction form
    260.68/359.75 = 142.66/x
  3. Step 3: Cross multiply
    260.68x = 359.75 × 142.66
  4. Step 4: Simplify right side
    260.68x = 51,322.83
  5. Step 5: Solve for x
    x = 51,322.83/260.68
  6. Step 6: Final answer
    x = 196.88

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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.