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Finding the Fourth Proportional to 259.11, 357.03 and 231.42

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Solution

The fourth proportional to 259.11, 357.03 and 231.42 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.11 : 357.03 = 231.42 : x
  2. Step 2: Convert to fraction form
    259.11/357.03 = 231.42/x
  3. Step 3: Cross multiply
    259.11x = 357.03 × 231.42
  4. Step 4: Simplify right side
    259.11x = 82,623.88
  5. Step 5: Solve for x
    x = 82,623.88/259.11
  6. Step 6: Final answer
    x = 318.88

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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.