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Finding the Fourth Proportional to 259.44, 355.44 and 256.92

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Solution

The fourth proportional to 259.44, 355.44 and 256.92 is: 351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 355.44 = 256.92 : x
  2. Step 2: Convert to fraction form
    259.44/355.44 = 256.92/x
  3. Step 3: Cross multiply
    259.44x = 355.44 × 256.92
  4. Step 4: Simplify right side
    259.44x = 91,319.64
  5. Step 5: Solve for x
    x = 91,319.64/259.44
  6. Step 6: Final answer
    x = 351.99

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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.