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Finding the Fourth Proportional to 232.02, 320.32 and 144.80

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Solution

The fourth proportional to 232.02, 320.32 and 144.80 is: 199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 320.32 = 144.80 : x
  2. Step 2: Convert to fraction form
    232.02/320.32 = 144.80/x
  3. Step 3: Cross multiply
    232.02x = 320.32 × 144.80
  4. Step 4: Simplify right side
    232.02x = 46,382.34
  5. Step 5: Solve for x
    x = 46,382.34/232.02
  6. Step 6: Final answer
    x = 199.91

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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.