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Finding the Fourth Proportional to 268.56, 369.57 and 259.65

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Solution

The fourth proportional to 268.56, 369.57 and 259.65 is: 357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.56 : 369.57 = 259.65 : x
  2. Step 2: Convert to fraction form
    268.56/369.57 = 259.65/x
  3. Step 3: Cross multiply
    268.56x = 369.57 × 259.65
  4. Step 4: Simplify right side
    268.56x = 95,959.77
  5. Step 5: Solve for x
    x = 95,959.77/268.56
  6. Step 6: Final answer
    x = 357.31

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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.