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Finding the Fourth Proportional to 232.43, 320.75 and 145.14

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Solution

The fourth proportional to 232.43, 320.75 and 145.14 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.43 : 320.75 = 145.14 : x
  2. Step 2: Convert to fraction form
    232.43/320.75 = 145.14/x
  3. Step 3: Cross multiply
    232.43x = 320.75 × 145.14
  4. Step 4: Simplify right side
    232.43x = 46,552.93
  5. Step 5: Solve for x
    x = 46,552.93/232.43
  6. Step 6: Final answer
    x = 200.29

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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.