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Finding the Fourth Proportional to 260.72, 359.71 and 182.96

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Solution

The fourth proportional to 260.72, 359.71 and 182.96 is: 252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.72 : 359.71 = 182.96 : x
  2. Step 2: Convert to fraction form
    260.72/359.71 = 182.96/x
  3. Step 3: Cross multiply
    260.72x = 359.71 × 182.96
  4. Step 4: Simplify right side
    260.72x = 65,810.29
  5. Step 5: Solve for x
    x = 65,810.29/260.72
  6. Step 6: Final answer
    x = 252.42

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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.