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Finding the Fourth Proportional to 232.93, 321.27 and 177.80

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Solution

The fourth proportional to 232.93, 321.27 and 177.80 is: 245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 321.27 = 177.80 : x
  2. Step 2: Convert to fraction form
    232.93/321.27 = 177.80/x
  3. Step 3: Cross multiply
    232.93x = 321.27 × 177.80
  4. Step 4: Simplify right side
    232.93x = 57,119.53
  5. Step 5: Solve for x
    x = 57,119.53/232.93
  6. Step 6: Final answer
    x = 245.23

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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.