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Finding the Fourth Proportional to 232.40, 320.96 and 145.13

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Solution

The fourth proportional to 232.40, 320.96 and 145.13 is: 200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.40 : 320.96 = 145.13 : x
  2. Step 2: Convert to fraction form
    232.40/320.96 = 145.13/x
  3. Step 3: Cross multiply
    232.40x = 320.96 × 145.13
  4. Step 4: Simplify right side
    232.40x = 46,579.68
  5. Step 5: Solve for x
    x = 46,579.68/232.40
  6. Step 6: Final answer
    x = 200.43

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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.