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Finding the Fourth Proportional to 232.40, 320.04 and 166.80

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Solution

The fourth proportional to 232.40, 320.04 and 166.80 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.40 : 320.04 = 166.80 : x
  2. Step 2: Convert to fraction form
    232.40/320.04 = 166.80/x
  3. Step 3: Cross multiply
    232.40x = 320.04 × 166.80
  4. Step 4: Simplify right side
    232.40x = 53,382.67
  5. Step 5: Solve for x
    x = 53,382.67/232.40
  6. Step 6: Final answer
    x = 229.70

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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.