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Finding the Fourth Proportional to 264.26, 363.84 and 239.96

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Solution

The fourth proportional to 264.26, 363.84 and 239.96 is: 330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 363.84 = 239.96 : x
  2. Step 2: Convert to fraction form
    264.26/363.84 = 239.96/x
  3. Step 3: Cross multiply
    264.26x = 363.84 × 239.96
  4. Step 4: Simplify right side
    264.26x = 87,305.23
  5. Step 5: Solve for x
    x = 87,305.23/264.26
  6. Step 6: Final answer
    x = 330.38

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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.