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Finding the Fourth Proportional to 264.81, 365.99 and 232.41

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Solution

The fourth proportional to 264.81, 365.99 and 232.41 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.81 : 365.99 = 232.41 : x
  2. Step 2: Convert to fraction form
    264.81/365.99 = 232.41/x
  3. Step 3: Cross multiply
    264.81x = 365.99 × 232.41
  4. Step 4: Simplify right side
    264.81x = 85,058.57
  5. Step 5: Solve for x
    x = 85,058.57/264.81
  6. Step 6: Final answer
    x = 321.21

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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.