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Finding the Fourth Proportional to 232.29, 320.43 and 144.81

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Solution

The fourth proportional to 232.29, 320.43 and 144.81 is: 199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.29 : 320.43 = 144.81 : x
  2. Step 2: Convert to fraction form
    232.29/320.43 = 144.81/x
  3. Step 3: Cross multiply
    232.29x = 320.43 × 144.81
  4. Step 4: Simplify right side
    232.29x = 46,402.27
  5. Step 5: Solve for x
    x = 46,402.27/232.29
  6. Step 6: Final answer
    x = 199.76

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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.