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Finding the Fourth Proportional to 260.79, 359.79 and 182.12

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Solution

The fourth proportional to 260.79, 359.79 and 182.12 is: 251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.79 : 359.79 = 182.12 : x
  2. Step 2: Convert to fraction form
    260.79/359.79 = 182.12/x
  3. Step 3: Cross multiply
    260.79x = 359.79 × 182.12
  4. Step 4: Simplify right side
    260.79x = 65,526.53
  5. Step 5: Solve for x
    x = 65,526.53/260.79
  6. Step 6: Final answer
    x = 251.26

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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.