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Finding the Fourth Proportional to 260.72, 357.12 and 257.38

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Solution

The fourth proportional to 260.72, 357.12 and 257.38 is: 352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.72 : 357.12 = 257.38 : x
  2. Step 2: Convert to fraction form
    260.72/357.12 = 257.38/x
  3. Step 3: Cross multiply
    260.72x = 357.12 × 257.38
  4. Step 4: Simplify right side
    260.72x = 91,914.65
  5. Step 5: Solve for x
    x = 91,914.65/260.72
  6. Step 6: Final answer
    x = 352.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.