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Finding the Fourth Proportional to 233.42, 321.92 and 178.05

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Solution

The fourth proportional to 233.42, 321.92 and 178.05 is: 245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.42 : 321.92 = 178.05 : x
  2. Step 2: Convert to fraction form
    233.42/321.92 = 178.05/x
  3. Step 3: Cross multiply
    233.42x = 321.92 × 178.05
  4. Step 4: Simplify right side
    233.42x = 57,316.97
  5. Step 5: Solve for x
    x = 57,316.97/233.42
  6. Step 6: Final answer
    x = 245.56

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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.