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Finding the Fourth Proportional to 232.07, 320.39 and 144.86

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Solution

The fourth proportional to 232.07, 320.39 and 144.86 is: 199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.07 : 320.39 = 144.86 : x
  2. Step 2: Convert to fraction form
    232.07/320.39 = 144.86/x
  3. Step 3: Cross multiply
    232.07x = 320.39 × 144.86
  4. Step 4: Simplify right side
    232.07x = 46,410.46
  5. Step 5: Solve for x
    x = 46,410.46/232.07
  6. Step 6: Final answer
    x = 199.99

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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.