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Finding the Fourth Proportional to 232.23, 320.46 and 144.90

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Solution

The fourth proportional to 232.23, 320.46 and 144.90 is: 199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.23 : 320.46 = 144.90 : x
  2. Step 2: Convert to fraction form
    232.23/320.46 = 144.90/x
  3. Step 3: Cross multiply
    232.23x = 320.46 × 144.90
  4. Step 4: Simplify right side
    232.23x = 46,434.65
  5. Step 5: Solve for x
    x = 46,434.65/232.23
  6. Step 6: Final answer
    x = 199.95

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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.