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Finding the Fourth Proportional to 260.36, 357.64 and 256.76

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Solution

The fourth proportional to 260.36, 357.64 and 256.76 is: 352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.36 : 357.64 = 256.76 : x
  2. Step 2: Convert to fraction form
    260.36/357.64 = 256.76/x
  3. Step 3: Cross multiply
    260.36x = 357.64 × 256.76
  4. Step 4: Simplify right side
    260.36x = 91,827.65
  5. Step 5: Solve for x
    x = 91,827.65/260.36
  6. Step 6: Final answer
    x = 352.69

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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.