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Finding the Fourth Proportional to 232.84, 321.30 and 145.48

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Solution

The fourth proportional to 232.84, 321.30 and 145.48 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 321.30 = 145.48 : x
  2. Step 2: Convert to fraction form
    232.84/321.30 = 145.48/x
  3. Step 3: Cross multiply
    232.84x = 321.30 × 145.48
  4. Step 4: Simplify right side
    232.84x = 46,742.72
  5. Step 5: Solve for x
    x = 46,742.72/232.84
  6. Step 6: Final answer
    x = 200.75

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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.