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Finding the Fourth Proportional to 264.12, 365.04 and 232.11

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Solution

The fourth proportional to 264.12, 365.04 and 232.11 is: 320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.12 : 365.04 = 232.11 : x
  2. Step 2: Convert to fraction form
    264.12/365.04 = 232.11/x
  3. Step 3: Cross multiply
    264.12x = 365.04 × 232.11
  4. Step 4: Simplify right side
    264.12x = 84,729.43
  5. Step 5: Solve for x
    x = 84,729.43/264.12
  6. Step 6: Final answer
    x = 320.80

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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.