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Finding the Fourth Proportional to 232.05, 320.16 and 144.66

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Solution

The fourth proportional to 232.05, 320.16 and 144.66 is: 199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.05 : 320.16 = 144.66 : x
  2. Step 2: Convert to fraction form
    232.05/320.16 = 144.66/x
  3. Step 3: Cross multiply
    232.05x = 320.16 × 144.66
  4. Step 4: Simplify right side
    232.05x = 46,314.35
  5. Step 5: Solve for x
    x = 46,314.35/232.05
  6. Step 6: Final answer
    x = 199.59

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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.