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Finding the Fourth Proportional to 232.54, 320.88 and 145.24

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Solution

The fourth proportional to 232.54, 320.88 and 145.24 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 320.88 = 145.24 : x
  2. Step 2: Convert to fraction form
    232.54/320.88 = 145.24/x
  3. Step 3: Cross multiply
    232.54x = 320.88 × 145.24
  4. Step 4: Simplify right side
    232.54x = 46,604.61
  5. Step 5: Solve for x
    x = 46,604.61/232.54
  6. Step 6: Final answer
    x = 200.42

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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.