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Finding the Fourth Proportional to 232.53, 320.82 and 145.23

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Solution

The fourth proportional to 232.53, 320.82 and 145.23 is: 200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.53 : 320.82 = 145.23 : x
  2. Step 2: Convert to fraction form
    232.53/320.82 = 145.23/x
  3. Step 3: Cross multiply
    232.53x = 320.82 × 145.23
  4. Step 4: Simplify right side
    232.53x = 46,592.69
  5. Step 5: Solve for x
    x = 46,592.69/232.53
  6. Step 6: Final answer
    x = 200.37

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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.