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Finding the Fourth Proportional to 233.88, 322.92 and 178.86

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Solution

The fourth proportional to 233.88, 322.92 and 178.86 is: 246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 322.92 = 178.86 : x
  2. Step 2: Convert to fraction form
    233.88/322.92 = 178.86/x
  3. Step 3: Cross multiply
    233.88x = 322.92 × 178.86
  4. Step 4: Simplify right side
    233.88x = 57,757.47
  5. Step 5: Solve for x
    x = 57,757.47/233.88
  6. Step 6: Final answer
    x = 246.95

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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.