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Finding the Fourth Proportional to 232.07, 320.41 and 177.09

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Solution

The fourth proportional to 232.07, 320.41 and 177.09 is: 244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.07 : 320.41 = 177.09 : x
  2. Step 2: Convert to fraction form
    232.07/320.41 = 177.09/x
  3. Step 3: Cross multiply
    232.07x = 320.41 × 177.09
  4. Step 4: Simplify right side
    232.07x = 56,739.36
  5. Step 5: Solve for x
    x = 56,739.36/232.07
  6. Step 6: Final answer
    x = 244.50

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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.