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Finding the Fourth Proportional to 233.15, 321.86 and 178.12

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Solution

The fourth proportional to 233.15, 321.86 and 178.12 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.15 : 321.86 = 178.12 : x
  2. Step 2: Convert to fraction form
    233.15/321.86 = 178.12/x
  3. Step 3: Cross multiply
    233.15x = 321.86 × 178.12
  4. Step 4: Simplify right side
    233.15x = 57,327.20
  5. Step 5: Solve for x
    x = 57,327.20/233.15
  6. Step 6: Final answer
    x = 245.88

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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.