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Finding the Fourth Proportional to 233.22, 321.89 and 177.86

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Solution

The fourth proportional to 233.22, 321.89 and 177.86 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.22 : 321.89 = 177.86 : x
  2. Step 2: Convert to fraction form
    233.22/321.89 = 177.86/x
  3. Step 3: Cross multiply
    233.22x = 321.89 × 177.86
  4. Step 4: Simplify right side
    233.22x = 57,248.86
  5. Step 5: Solve for x
    x = 57,248.86/233.22
  6. Step 6: Final answer
    x = 245.48

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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.