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Finding the Fourth Proportional to 260.79, 359.06 and 211.83

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Solution

The fourth proportional to 260.79, 359.06 and 211.83 is: 291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.79 : 359.06 = 211.83 : x
  2. Step 2: Convert to fraction form
    260.79/359.06 = 211.83/x
  3. Step 3: Cross multiply
    260.79x = 359.06 × 211.83
  4. Step 4: Simplify right side
    260.79x = 76,059.68
  5. Step 5: Solve for x
    x = 76,059.68/260.79
  6. Step 6: Final answer
    x = 291.65

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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.