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Finding the Fourth Proportional to 233.64, 323.10 and 232.20

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Solution

The fourth proportional to 233.64, 323.10 and 232.20 is: 321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 323.10 = 232.20 : x
  2. Step 2: Convert to fraction form
    233.64/323.10 = 232.20/x
  3. Step 3: Cross multiply
    233.64x = 323.10 × 232.20
  4. Step 4: Simplify right side
    233.64x = 75,023.82
  5. Step 5: Solve for x
    x = 75,023.82/233.64
  6. Step 6: Final answer
    x = 321.11

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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.