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Finding the Fourth Proportional to 260.57, 359.16 and 252.83

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Solution

The fourth proportional to 260.57, 359.16 and 252.83 is: 348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.57 : 359.16 = 252.83 : x
  2. Step 2: Convert to fraction form
    260.57/359.16 = 252.83/x
  3. Step 3: Cross multiply
    260.57x = 359.16 × 252.83
  4. Step 4: Simplify right side
    260.57x = 90,806.42
  5. Step 5: Solve for x
    x = 90,806.42/260.57
  6. Step 6: Final answer
    x = 348.49

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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.