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Finding the Fourth Proportional to 232.04, 320.22 and 166.52

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Solution

The fourth proportional to 232.04, 320.22 and 166.52 is: 229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.04 : 320.22 = 166.52 : x
  2. Step 2: Convert to fraction form
    232.04/320.22 = 166.52/x
  3. Step 3: Cross multiply
    232.04x = 320.22 × 166.52
  4. Step 4: Simplify right side
    232.04x = 53,323.03
  5. Step 5: Solve for x
    x = 53,323.03/232.04
  6. Step 6: Final answer
    x = 229.80

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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.