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Finding the Fourth Proportional to 260.35, 359.13 and 171.79

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Solution

The fourth proportional to 260.35, 359.13 and 171.79 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.35 : 359.13 = 171.79 : x
  2. Step 2: Convert to fraction form
    260.35/359.13 = 171.79/x
  3. Step 3: Cross multiply
    260.35x = 359.13 × 171.79
  4. Step 4: Simplify right side
    260.35x = 61,694.94
  5. Step 5: Solve for x
    x = 61,694.94/260.35
  6. Step 6: Final answer
    x = 236.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.