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Finding the Fourth Proportional to 260.36, 357.64 and 216.44

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Solution

The fourth proportional to 260.36, 357.64 and 216.44 is: 297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.36 : 357.64 = 216.44 : x
  2. Step 2: Convert to fraction form
    260.36/357.64 = 216.44/x
  3. Step 3: Cross multiply
    260.36x = 357.64 × 216.44
  4. Step 4: Simplify right side
    260.36x = 77,407.60
  5. Step 5: Solve for x
    x = 77,407.60/260.36
  6. Step 6: Final answer
    x = 297.31

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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.