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Finding the Fourth Proportional to 264.82, 366.11 and 262.39

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Solution

The fourth proportional to 264.82, 366.11 and 262.39 is: 362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.82 : 366.11 = 262.39 : x
  2. Step 2: Convert to fraction form
    264.82/366.11 = 262.39/x
  3. Step 3: Cross multiply
    264.82x = 366.11 × 262.39
  4. Step 4: Simplify right side
    264.82x = 96,063.60
  5. Step 5: Solve for x
    x = 96,063.60/264.82
  6. Step 6: Final answer
    x = 362.75

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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.