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Finding the Fourth Proportional to 233.21, 321.57 and 163.15

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Solution

The fourth proportional to 233.21, 321.57 and 163.15 is: 224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.21 : 321.57 = 163.15 : x
  2. Step 2: Convert to fraction form
    233.21/321.57 = 163.15/x
  3. Step 3: Cross multiply
    233.21x = 321.57 × 163.15
  4. Step 4: Simplify right side
    233.21x = 52,463.34
  5. Step 5: Solve for x
    x = 52,463.34/233.21
  6. Step 6: Final answer
    x = 224.96

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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.