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Finding the Fourth Proportional to 233.22, 319.31 and 231

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Solution

The fourth proportional to 233.22, 319.31 and 231 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.22 : 319.31 = 231 : x
  2. Step 2: Convert to fraction form
    233.22/319.31 = 231/x
  3. Step 3: Cross multiply
    233.22x = 319.31 × 231
  4. Step 4: Simplify right side
    233.22x = 73,760.61
  5. Step 5: Solve for x
    x = 73,760.61/233.22
  6. Step 6: Final answer
    x = 316.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.